Simplify the radical. stuck Math please help?

Question

1. Simplify: √a^2

A. a^2
B. a^4
C. a
D. √a

2. Simplify the radical. √36a^4b^10

A. 6ab√ab
B. 6a^2b^5
C. 6a^3b^9
D. 6a√a^4b^10

3. Simplify: √28a^3b^2

A. 14ab√a
B. 14√ab
C. 4ab√7a
D. 2ab√7a

4. Simplify: √300x^16

A. 10x^8√3
B. 100x^8√3
C. 150 x^8
D. 25x^4√12

5. Simplify the radical. √a^3

A. a√a
B. a
C. a√a^2
D. a^2

6. Simplify: √64/81

A. √8/9
B. 4/3
C. 8/9
D. √4/3

7. Simplify the radical. √2/3

A. √6/3
B. √2/3
C. 2/3
D. 1/√3

8. Write the radical in simplest form. √1/5

A. 1/√5
B. 1/ 2.5
C. √5/ 5

9. Which of the answers below is the radical in simplest form? √10/ 6

A. √60/ 6
B. 6√15 /3
C. 2√15 /6
D. √ 5/ 3

10. Which of the following is the radical in simplest form? √ 3/7

A. √3/ 7
B. √ 21/ 7
C. 3√7 / 7
D. √21 /7

Can anybody help me and explain if you can im stuck

Answer 1

1. Simplify

√a² = a

C is the right choice.

Answer 2

2.Simplify the radical

√36a⁴b¹⁰ = 6a²b⁵ (apply the power rule)

B is the right choice.

Answer 3

3. simplify

√28a³b² = 2ab√7a (Apply the power rule)

D is the right choice.

Answer 4

4.

√300x^16 = 10x^8√3 (Apply the power rule)

A is the right choice.

Answer 5

4.

√300x¹⁶ = 10x⁸√3 (Apply the power rule)

A is the right choice.

Answer 6

5. Simplify the radical

√a³ = a√a (Apply the power rule)

A is the right choice.

Answer 7

6. Simplify

√64/81 = 8/9 (Apply the power rule)

C is the right choice.

Answer 8

7. Simplify the radical

√2/3

B is the right choice.

Answer 9

8. Simplify the radical

√1/5 = 1√5

 

A is the right choice.

Answer 10

9. The radical in simplest form

Simplify

√10/6 = √5/3

D is the right choice.