Operations with Radicals

• Adding & Subtracting Radicals

• Multiplying & Dividing Radicals

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​Operations and Radicals!

Multiple Choice

1.) Simplify:

$$\sqrt{50}$$  

• $$5\sqrt{2}$$  

• $$\sqrt{5}$$   

• $$2\sqrt{5}$$  

• $$25\sqrt{2}$$  

Math Response

2.) Simplify:

$$\sqrt{300}$$  

Type answer here

Correct Answer: 10\sqrt{3}

Deg^°

Rad

Multiple Choice

3.) Simplify:

$$2\sqrt{63}$$  

• $$3\sqrt{7}$$  

• $$6\sqrt{2}$$  

• $$7\sqrt{6}$$  

• $$6\sqrt{7}$$  

Multiple Choice

Is $$\sqrt[]{36}+\sqrt[]{64}$$ equal to $$\sqrt[]{36+64}$$ ?

• Yes

• No

Multiple Choice

Is $$\sqrt[]{4}\cdot\sqrt[]{9}$$ equal to $$\sqrt[]{4\cdot9}$$ ?

• Yes

• No

Multiple Choice

Is $$\sqrt[]{64}-\sqrt[]{36}$$ equal to $$\sqrt[]{64-36}$$ ?

• Yes

• No

Multiple Choice

Is $$\frac{\sqrt[]{100}}{\sqrt[]{4}}$$ equal to $$\sqrt[]{\frac{100}{4}}$$ ?

• Yes

• No

Math Response

4.) Simplify:

$$\sqrt[]{21}\cdot\sqrt[]{3}$$

Type answer here

Correct Answer: 3\sqrt{7}

Deg^°

Rad

Math Response

5.) Simplify:

$$\left(5\sqrt[]{6}\right)\left(3\sqrt[]{12}\right)$$

Type answer here

Correct Answer: 90\sqrt{2}

Deg^°

Rad

Math Response

6.) Simplify:

$$\frac{\sqrt[]{40}}{\sqrt[]{2}}$$

Type answer here

Correct Answer: 2\sqrt{5}

Deg^°

Rad

Math Response

7.) Simplify:

$$\frac{3\sqrt[]{2}}{\sqrt[]{8}}$$

Hint: Simplify the denominator!

Type answer here

Correct Answer: 1.5

Deg^°

Rad

Math Response

8.) Simplify:

$$\sqrt[]{12}-\sqrt[]{48}$$

Type answer here

Correct Answer: -2\sqrt{3}

Deg^°

Rad

Math Response

9.) Simplify:

$$3\sqrt[]{50}+2\sqrt[]{72}$$

Type answer here

Correct Answer: 27\sqrt{2}

Deg^°

Rad

Math Response

10.) Simplify:

$$2\sqrt[]{98}+\sqrt[]{18}$$

Type answer here

Correct Answer: 17\sqrt{2}

Deg^°

Rad

Math Response

11.) Simplify:

$$\sqrt[3]{54}-\sqrt[3]{250}$$

Type answer here

Correct Answer: -2\sqrt[3]{2}

Deg^°

Rad