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This quiz checks your understanding of square roots, cube roots, and how to classify numbers as rational or irrational. Show your reasoning when needed, and simplify answers completely.

Ɛhia

1

Which expression is a simplified form of $\sqrt{50}$?

$2\sqrt{25}$

$5\sqrt{2}$

$\sqrt{100}$

$\sqrt{25}+\sqrt{2}$

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1

Simplify: $3\sqrt{8}+\sqrt{18}$

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1

Simplify: $\sqrt{12}\cdot\sqrt{27}$

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1

Simplify: $\sqrt[3]{16}\cdot\sqrt[3]{2}$

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1

Which statement is always true?

The sum of two irrational numbers is irrational.

The sum of a rational number and an irrational number is rational.

The product of two irrational numbers is irrational.

The sum of two rational numbers is rational.

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1

Classify the number $-\sqrt{64}$.

Irrational

Neither rational nor irrational

Non-real

Rational

Empty multi-part

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1

Write an expression for the perimeter $P$ of the rectangle in simplest form.

1

Simplify each radical, then add or subtact.

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1

Find the area of the square in simplest form. (Do not use decimals.)

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1

Is the area rational or irrational?

Irrational

Rational

Cannot be determined

Not a real number

Algebra Unit 1 CFA Quiz Review-Mrs. Hayes

Algebra Unit 1 CFA Quiz Review-Mrs. Hayes

Which expression is a simplified form of $\sqrt{50}$?

Simplify: $3\sqrt{8}+\sqrt{18}$

Simplify: $\sqrt{12}\cdot\sqrt{27}$

Simplify: $\sqrt[3]{16}\cdot\sqrt[3]{2}$

Which statement is always true?

Classify the number $-\sqrt{64}$.

Write an expression for the perimeter $P$ of the rectangle in simplest form.

Simplify each radical, then add or subtact.

Find the area of the square in simplest form. (Do not use decimals.)

Is the area rational or irrational?

Which expression is a simplified form of $\sqrt{50}$?

Simplify: $3\sqrt{8}+\sqrt{18}$

Simplify: $\sqrt{12}\cdot\sqrt{27}$

Simplify: $\sqrt[3]{16}\cdot\sqrt[3]{2}$

Which statement is always true?

Classify the number $-\sqrt{64}$.

Write an expression for the perimeter $P$ of the rectangle in simplest form.

Simplify each radical, then add or subtact.

Find the area of the square in simplest form. (Do not use decimals.)

Is the area rational or irrational?