Free Printable Recall: Operations with Radicals

1.

Adding and subtracting radicals is much like combining terms with variables.

(a)

2.

It refers to the degree of the root.

a)

Index

b)

Radicand

c)

Radical Sign

d)

None of the above.

3.

It is the term or expression under the radical.

a)

Exponents

b)

Index

c)

Radicand

d)

Root

4.

Identify the roots that have the same index and radicand as $\frac{1}{2}\sqrt[3]{25}$

a)

$\sqrt[]{25}$

b)

$10\sqrt[]{6}$

c)

$-1\sqrt[3]{6}$

d)

None of the above.

5.

Add: $5\sqrt[]{11}\ +\ 8\sqrt[]{11}$

a)

$40\sqrt[]{11}$

b)

$13\sqrt[]{11}$

c)

$13\sqrt[]{22}$

d)

$40\sqrt[]{121}$

6.

Add: $3\sqrt[]{x}+12\sqrt[3]{xy}\ +\sqrt[]{x}$

a)

$4\sqrt[]{2x}\ +\ 12\sqrt[3]{xy}$

b)

$4\sqrt[]{x}\ +12\sqrt[3]{xy}$

c)

$16\sqrt[]{4xy}$

d)

$4\sqrt[]{xy}+12\sqrt[3]{x}$

7.

Subtract: $4\sqrt[3]{5a}-\sqrt[3]{3a}-2\sqrt[3]{5a}$

a)

$6\sqrt[3]{8a}$

b)

$7\sqrt[]{8a}$

c)

$2\sqrt[3]{2a}-\sqrt[3]{2a}$

d)

$2\sqrt[3]{5a}-\sqrt[3]{3a}$

8.

Subtract: $5\sqrt[]{13}-3\sqrt[]{13}$

a)

$2$

b)

$2\sqrt[]{26}$

c)

$2\sqrt[]{13}$

d)

$2\sqrt[]{0}$

9.

This symbol $\sqrt[]{}$ is called .

(a)

10.

Identify the roots that have the same index and radicand as $12\sqrt[]{6}$

a)

$-7\sqrt[3]{6}$

b)

$10\sqrt[]{6}$

c)

$-1\sqrt[3]{6}$

d)

None of the above.

Recall: Operations with Radicals

Total questions: 10

Worksheet time: 2mins

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