Quiz about 11.1 Simplifying Radicals

Question 1

Which of the square roots below falls between 8 and 9?

Accepted Answer

$$\sqrt[]{80}$$

Answer

$$\sqrt[]{40}$$

Answer

$$\sqrt[]{58}$$

Answer

$$\sqrt[]{99}$$

Question 2

$$\sqrt[]{59}$$ falls beteen what two integers?

Accepted Answer

7 and 8

Answer

5 and 6

Answer

58 and 60

Answer

24 and 25

Question 3

Approximate $$\sqrt[]{11}$$ to one decimal.

Accepted Answer

3.3

Answer

5.5

Answer

1.1

Answer

121

Question 4

Simplify completely. $$\sqrt[]{48}$$

Accepted Answer

$$4\sqrt[]{3}$$

Answer

$$3\sqrt[]{4}$$

Answer

$$4\sqrt[]{6}$$

Answer

$$6$$

Question 5

Simplify completely. $$\sqrt[]{72}$$

Accepted Answer

$$6\sqrt[]{2}$$

Answer

$$2\sqrt[]{36}$$

Answer

$$8\sqrt[]{9}$$

Answer

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

Question 6

Simplify completely. $$\sqrt[]{200}$$

Accepted Answer

$$10\sqrt[]{2}$$

Answer

$$8\sqrt[]{5}$$

Answer

$$20\sqrt[]{2}$$

Answer

$$10\sqrt[]{10}$$

Question 7

Simplify. $$\sqrt[]{24}\cdot\sqrt[]{3}$$

Accepted Answer

$$6\sqrt[]{2}$$

Answer

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

Answer

$$36\sqrt[]{2}$$

Answer

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

Question 8

Simplify $$4\sqrt[]{18}\cdot2\sqrt[]{6}$$

Accepted Answer

$$48\sqrt[]{3}$$

Answer

$$72\sqrt[]{6}$$

Answer

$$32\sqrt[]{3}$$

Answer

$$36\sqrt[]{12}$$

Question 9

Simplify:

$$2\sqrt[]{5}-3\sqrt[]{20}$$

Accepted Answer

$$-4\sqrt[]{5}$$

Answer

$$-1\sqrt[]{15}$$

Answer

$$-8\sqrt[]{5}$$

Answer

$$8\sqrt[]{5}$$

Question 10

Simplify:

$$3\sqrt[]{54}+3\sqrt[]{24}$$

Accepted Answer

$$15\sqrt[]{6}$$

Answer

$$30\sqrt[]{3}$$

Answer

$$39\sqrt[]{6}$$

Answer

$$8\sqrt[]{18}$$

Question 11

Simplify:

$$\sqrt[]{45}-2\sqrt[]{5}$$

Accepted Answer

$$\sqrt[]{5}$$

Answer

$$7\sqrt[]{5}$$

Answer

$$5\sqrt[]{5}$$

Answer

$$-4\sqrt[]{10}$$

11.1 Simplifying Radicals

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