(H) DRAFT - Simplifying Square and Cube Roots

Last updated almost 2 years ago

8 questions

Note from the author:

Instructions

A.3.a

A.3.b

A.3.c

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(H) DRAFT - Simplifying Square and Cube Roots

Last updated almost 2 years ago

8 questions

Note from the author:

A.3 The student will simplify
(a)  square roots of whole numbers and monomial algebraic expressions;
(b)  cube roots of integers; and
(c)  numerical expressions containing square or cube roots.

Instructions

A.3 The student will simplify
(a)  square roots of whole numbers and monomial algebraic expressions;
(b)  cube roots of integers; and
(c)  numerical expressions containing square or cube roots.

Question 1

Simplify \sqrt{81m^{5}} into simplest radical form.

A.3.a

Question 2

Simplify \sqrt{24x^{3}y^{2}} into simplest radical form.

A.3.a

Question 3

Select all expressions that are in the simplest radical form.

A.3.a

Question 4

Which expression represents \sqrt{128} in simplest radical form?

2\sqrt{32}

4\sqrt{8}

2\sqrt{8}

8\sqrt{2}

A.3.a

Question 5

Simplify \sqrt[3]{24} into simplest radical form.

A.3.b

Question 6

Which expression represents \sqrt[3]{72} in simplest radical form?

6\sqrt[3]{2}

2\sqrt[3]{9}

8\sqrt[3]{9}

9\sqrt[3]{8}

A.3.b

Question 7

What is the product of \sqrt{15} and \sqrt{3} in simplest radical form?

\sqrt{45}

\sqrt{18}

3\sqrt{5}

3\sqrt{2}

A.3.c

Question 8

Simplify the expression 2\sqrt[3]{4} \cdot 5\sqrt[3]{6} into the simplest radical form.

10\sqrt[3]{24}

20\sqrt[3]{3}

20\sqrt[3]{6}

14\sqrt[3]{3}

A.3.c

A.3 The student will simplify
(a)  square roots of whole numbers and monomial algebraic expressions;
(b)  cube roots of integers; and
(c)  numerical expressions containing square or cube roots.

A.3 The student will simplify
(a)  square roots of whole numbers and monomial algebraic expressions;
(b)  cube roots of integers; and
(c)  numerical expressions containing square or cube roots.

Question 1

Simplify \sqrt{81m^{5}} into simplest radical form.

Question 2

Simplify \sqrt{24x^{3}y^{2}} into simplest radical form.

Question 3

Select all expressions that are in the simplest radical form.

Question 4

Which expression represents \sqrt{128} in simplest radical form?

2\sqrt{32}

4\sqrt{8}

2\sqrt{8}

8\sqrt{2}

Question 5

Simplify \sqrt[3]{24} into simplest radical form.

Question 6

Which expression represents \sqrt[3]{72} in simplest radical form?

6\sqrt[3]{2}

2\sqrt[3]{9}

8\sqrt[3]{9}

9\sqrt[3]{8}

Question 7

What is the product of \sqrt{15} and \sqrt{3} in simplest radical form?

\sqrt{45}

\sqrt{18}

3\sqrt{5}

3\sqrt{2}

Question 8

Simplify the expression 2\sqrt[3]{4} \cdot 5\sqrt[3]{6} into the simplest radical form.

10\sqrt[3]{24}

20\sqrt[3]{3}

20\sqrt[3]{6}

14\sqrt[3]{3}