Free Printable Simplifying Radicals 2

1.

$∜9$

a)

$∜3$

b)

$\sqrt{3}$

c)

$3$

2.

A radical expression can be simplified by reducing the index.

a)

TRUE

b)

FALSE

3.

$5^{\frac{1}{2}}\$ is equal to $\sqrt{5}$ .

a)

TRUE

b)

FALSE

4.

What is the index of $_5\sqrt{x^8}$ ?

a)

5

b)

$x^8$

c)

x

5.

$_6\sqrt{x^4y^2}$

a)

$x^2y$

b)

$_3\sqrt{x^2y}$

c)

$\sqrt{x^2y}$

6.

$_{10}\sqrt{a^4b^6c^8}$

a)

$\sqrt{a^2b^3c^4}$

b)

$_5\sqrt{a^2b^3c^4}$

c)

$a^2b^3c^{4\ }$

7.

$_6\sqrt{8}$

a)

$2\sqrt{2}$

b)

$\frac{3}{4}$

c)

$_3\sqrt{2}$

d)

$\sqrt{2}$

8.

Which of the following is equal to
$_8\sqrt{m}$ ?

a)

$m^{\frac{1}{8}}$

b)

$m^8$

c)

$\sqrt{m}$

9.

$_{15}\sqrt{c^{12}d^3e^9}$

a)

$\sqrt{c^4de^3}$

b)

$_5\sqrt{c^4de^3}$

c)

$_3\sqrt{c^4de^9}$

10.

$_8\sqrt{81}$

a)

$\sqrt{9}$

b)

$_4\sqrt{9}$

c)

$\sqrt{3}$

11.

$_9\sqrt{64}$

a)

$\sqrt{2}$

b)

$_3\sqrt{2}$

c)

$_3\sqrt{4}$

d)

$\sqrt{4}$

12.

$_6\sqrt{16m^2n^4}$

a)

$_3\sqrt{2mn^2}$

b)

$\sqrt{2mn^2}$

c)

$_3\sqrt{4mn^2}$

d)

$\sqrt{4mn^2}$

13.

$_8\sqrt{y^6}$ can be written as _______.

a)

$y^{\frac{6}{8}}$

b)

$y^{\frac{1}{8}}$

c)

$\left(y^8\right)^{\frac{1}{6}}$

d)

$y^{\frac{8}{6}}$

14.

Rewrite the expression below into radical expression:

$x^{\frac{2}{3}}y^{\frac{1}{3}}z^{\frac{2}{3}}$

a)

$\sqrt{x^2yz^2}$

b)

$\sqrt{x^3yz^3}$

c)

$_3\sqrt{x^2yz^2}$

15.

Simplify $\left(x^2\right)^{\frac{1}{4}}$ .

a)

$x^{\frac{1}{2}}$

b)

$x^2$

16.

$_4\sqrt{25}\$ can be simplified by reducing the radicand.

a)

TRUE

b)

FALSE

17.

$c^{\frac{2}{3}}$ can be changed into radical expression.

a)

TRUE

b)

FALSE

18.

$_3\sqrt{4}$ can be changed into expression with rational exponents.

a)

TRUE

b)

FALSE

19.

Which of the following can be used to simplify radicals?

a)

Reducing the index

b)

Reducing the radicand

c)

Rationalization

d)

All of the above

20.

$a^{\frac{m}{n}}\ =\ _n\sqrt{a^m}$

a)

TRUE

b)

FALSE

Simplifying Radicals 2

Total questions: 20

Worksheet time: 7mins

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