P4.3 Imaginary & Complex Ops

Last updated almost 4 years ago

13 questions

Note from the author:

If you're stuck, watch this video for simplifying complex numbers.
Watch this video for simplifying square roots.

Instructions

If you're stuck, watch this video for simplifying complex numbers.
Watch this video for simplifying square roots.

P4.3 Imaginary & Complex Ops

Last updated almost 4 years ago

13 questions

Note from the author:

If you're stuck, watch this video for simplifying complex numbers.
Watch this video for simplifying square roots.

Instructions

If you're stuck, watch this video for simplifying complex numbers.
Watch this video for simplifying square roots.

Simplify the expression. Write your answer as a imaginary number. No spaces.
\sqrt{-25}

Simplify the expression. Write your answer as a imaginary number. No spaces. Simplify any radicals.
\sqrt{8}\cdot\sqrt{-24}

Simplify the expression. Write your answer as an imaginary number.

(2i)^{5} \cdot (i\sqrt{6})^{2}

Solve the equation. List the solutions.

x2 - 4 = -104

Use x={#, #} format, with exactly one space after the comma, no others. List the negative number first. Simplify any radicals.

Solve the equation. List the solutions.

-(x - 1)^{2} = 4

Use x={#, #} format, with exactly one space after the comma, no others. List the negative number first. Simplify any radicals.

Solve the equation. List the solutions.

2x2 + 71 = -163

Use x={#, #} format, with exactly one space after the comma, no others. List the negative number first. Simplify any radicals.

Simplify the expression. Write your answer as a complex number, a+bi, where a and b are real numbers. No spaces.

(11-7i) + (2-5i)

Simplify the expression. Write your answer as a complex number, a+bi, where a and b are real numbers. No spaces.

(-3+8i) - (1+8i)

Simplify the expression. Write your answer as a complex number, a+bi, where a and b are real numbers. No spaces.

(7+i)(4+3i)

Simplify the expression. Write your answer as a complex number, a+bi, where a and b are real numbers. No spaces.

(5-2i)(2+7i) - 2i(3i)2

REVIEW
Solve by factoring

3x^{2} -5x = 2

Use x={#, #} format, with exactly one space after the comma, no others. List the negative number first. Simplify any radicals. Use fractions, not decimals.

REVIEW
Solve by square roots.

1-x^{2}= -7

Use x={#, #} format, with exactly one space after the comma, no others. List the negative number first. Simplify any radicals. Use fractions, not decimals.

REVIEW
Solve by square roots.

3(x-2)^{2} = 12

Use x={#, #} format, with exactly one space after the comma, no others. List the negative number first. Simplify any radicals. Use fractions, not decimals.

P4.3 Imaginary & Complex Ops

P4.3 Imaginary & Complex Ops

Simplify the expression. Write your answer as a imaginary number. No spaces.\sqrt{-25}

Simplify the expression. Write your answer as a imaginary number. No spaces. Simplify any radicals.\sqrt{8}\cdot\sqrt{-24}

Simplify the expression. Write your answer as an imaginary number.(2i)^{5} \cdot (i\sqrt{6})^{2}

Solve the equation. List the solutions.x2 - 4 = -104Use x={#, #} format, with exactly one space after the comma, no others. List the negative number first. Simplify any radicals.

Solve the equation. List the solutions.-(x - 1)^{2} = 4Use x={#, #} format, with exactly one space after the comma, no others. List the negative number first. Simplify any radicals.

Solve the equation. List the solutions.2x2 + 71 = -163Use x={#, #} format, with exactly one space after the comma, no others. List the negative number first. Simplify any radicals.

Simplify the expression. Write your answer as a complex number, a+bi, where a and b are real numbers. No spaces.(11-7i) + (2-5i)

Simplify the expression. Write your answer as a complex number, a+bi, where a and b are real numbers. No spaces.(-3+8i) - (1+8i)

Simplify the expression. Write your answer as a complex number, a+bi, where a and b are real numbers. No spaces.(7+i)(4+3i)

Simplify the expression. Write your answer as a complex number, a+bi, where a and b are real numbers. No spaces.(5-2i)(2+7i) - 2i(3i)2

REVIEWSolve by factoring3x^{2} -5x = 2Use x={#, #} format, with exactly one space after the comma, no others. List the negative number first. Simplify any radicals. Use fractions, not decimals.

REVIEWSolve by square roots.1-x^{2}= -7Use x={#, #} format, with exactly one space after the comma, no others. List the negative number first. Simplify any radicals. Use fractions, not decimals.

REVIEWSolve by square roots.3(x-2)^{2} = 12Use x={#, #} format, with exactly one space after the comma, no others. List the negative number first. Simplify any radicals. Use fractions, not decimals.

Simplify the expression. Write your answer as a imaginary number. No spaces.\sqrt{-25}

Simplify the expression. Write your answer as a imaginary number. No spaces. Simplify any radicals.\sqrt{8}\cdot\sqrt{-24}

Simplify the expression. Write your answer as an imaginary number.(2i)^{5} \cdot (i\sqrt{6})^{2}

Solve the equation. List the solutions.x2 - 4 = -104Use x={#, #} format, with exactly one space after the comma, no others. List the negative number first. Simplify any radicals.

Solve the equation. List the solutions.-(x - 1)^{2} = 4Use x={#, #} format, with exactly one space after the comma, no others. List the negative number first. Simplify any radicals.

Solve the equation. List the solutions.2x2 + 71 = -163Use x={#, #} format, with exactly one space after the comma, no others. List the negative number first. Simplify any radicals.

Simplify the expression. Write your answer as a complex number, a+bi, where a and b are real numbers. No spaces.(11-7i) + (2-5i)

Simplify the expression. Write your answer as a complex number, a+bi, where a and b are real numbers. No spaces.(-3+8i) - (1+8i)

Simplify the expression. Write your answer as a complex number, a+bi, where a and b are real numbers. No spaces.(7+i)(4+3i)

Simplify the expression. Write your answer as a complex number, a+bi, where a and b are real numbers. No spaces.(5-2i)(2+7i) - 2i(3i)2

REVIEWSolve by factoring3x^{2} -5x = 2Use x={#, #} format, with exactly one space after the comma, no others. List the negative number first. Simplify any radicals. Use fractions, not decimals.

REVIEWSolve by square roots.1-x^{2}= -7Use x={#, #} format, with exactly one space after the comma, no others. List the negative number first. Simplify any radicals. Use fractions, not decimals.

REVIEWSolve by square roots.3(x-2)^{2} = 12Use x={#, #} format, with exactly one space after the comma, no others. List the negative number first. Simplify any radicals. Use fractions, not decimals.

Simplify the expression. Write your answer as a imaginary number. No spaces.
\sqrt{-25}

Simplify the expression. Write your answer as a imaginary number. No spaces. Simplify any radicals.
\sqrt{8}\cdot\sqrt{-24}

Simplify the expression. Write your answer as an imaginary number.

(2i)^{5} \cdot (i\sqrt{6})^{2}

Solve the equation. List the solutions.

x2 - 4 = -104

Use x={#, #} format, with exactly one space after the comma, no others. List the negative number first. Simplify any radicals.

Solve the equation. List the solutions.

-(x - 1)^{2} = 4

Use x={#, #} format, with exactly one space after the comma, no others. List the negative number first. Simplify any radicals.

Solve the equation. List the solutions.

2x2 + 71 = -163

Use x={#, #} format, with exactly one space after the comma, no others. List the negative number first. Simplify any radicals.

Simplify the expression. Write your answer as a complex number, a+bi, where a and b are real numbers. No spaces.

(11-7i) + (2-5i)

Simplify the expression. Write your answer as a complex number, a+bi, where a and b are real numbers. No spaces.

(-3+8i) - (1+8i)

Simplify the expression. Write your answer as a complex number, a+bi, where a and b are real numbers. No spaces.

(7+i)(4+3i)

Simplify the expression. Write your answer as a complex number, a+bi, where a and b are real numbers. No spaces.

(5-2i)(2+7i) - 2i(3i)2

REVIEW
Solve by factoring

3x^{2} -5x = 2

Use x={#, #} format, with exactly one space after the comma, no others. List the negative number first. Simplify any radicals. Use fractions, not decimals.

REVIEW
Solve by square roots.

1-x^{2}= -7

Use x={#, #} format, with exactly one space after the comma, no others. List the negative number first. Simplify any radicals. Use fractions, not decimals.

REVIEW
Solve by square roots.

3(x-2)^{2} = 12

Use x={#, #} format, with exactly one space after the comma, no others. List the negative number first. Simplify any radicals. Use fractions, not decimals.

Simplify the expression. Write your answer as a imaginary number. No spaces.
\sqrt{-25}

Simplify the expression. Write your answer as a imaginary number. No spaces. Simplify any radicals.
\sqrt{8}\cdot\sqrt{-24}

Simplify the expression. Write your answer as an imaginary number.

(2i)^{5} \cdot (i\sqrt{6})^{2}

Solve the equation. List the solutions.

x2 - 4 = -104

Use x={#, #} format, with exactly one space after the comma, no others. List the negative number first. Simplify any radicals.

Solve the equation. List the solutions.

-(x - 1)^{2} = 4

Use x={#, #} format, with exactly one space after the comma, no others. List the negative number first. Simplify any radicals.

Solve the equation. List the solutions.

2x2 + 71 = -163

Use x={#, #} format, with exactly one space after the comma, no others. List the negative number first. Simplify any radicals.

Simplify the expression. Write your answer as a complex number, a+bi, where a and b are real numbers. No spaces.

(11-7i) + (2-5i)

Simplify the expression. Write your answer as a complex number, a+bi, where a and b are real numbers. No spaces.

(-3+8i) - (1+8i)

Simplify the expression. Write your answer as a complex number, a+bi, where a and b are real numbers. No spaces.

(7+i)(4+3i)

Simplify the expression. Write your answer as a complex number, a+bi, where a and b are real numbers. No spaces.

(5-2i)(2+7i) - 2i(3i)2

REVIEW
Solve by factoring

3x^{2} -5x = 2

Use x={#, #} format, with exactly one space after the comma, no others. List the negative number first. Simplify any radicals. Use fractions, not decimals.

REVIEW
Solve by square roots.

1-x^{2}= -7

Use x={#, #} format, with exactly one space after the comma, no others. List the negative number first. Simplify any radicals. Use fractions, not decimals.

REVIEW
Solve by square roots.

3(x-2)^{2} = 12

Use x={#, #} format, with exactly one space after the comma, no others. List the negative number first. Simplify any radicals. Use fractions, not decimals.