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Laabri

P4.3 Imaginary & Complex Ops

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Last updated over 4 years ago
13 Nsɛmmisa
Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:
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If you're stuck, watch this video for simplifying complex numbers.

Watch this video for simplifying square roots.

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

Watch this video for simplifying square roots.

Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Simplify the expression. Write your answer as a imaginary number. No spaces.

\sqrt{-25}

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Simplify the expression. Write your answer as a imaginary number. No spaces. Simplify any radicals.

\sqrt{8}\cdot\sqrt{-24}

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

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

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

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

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.

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

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.

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

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.

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

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)

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

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)

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

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)

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

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.

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

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.

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

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.