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simplify nth roots

Total questions: 10

Worksheet time: 18mins

Name
Class
Date
1.
a)
A
b)
B
c)
C
d)
D
2.

Simplify

a)

A

b)

B

c)

C

d)

D

e)

None of the above

3.

IDENTIFY THE SIMPLEST EQUIVALENT EXPRESSION, ASSUMING WE ONLY WANT THE PRINCIPAL ROOT

a)

2m2 ⋅ 6m3n8 2m^2\ \cdot^{\ \ 6}\sqrt{m^3n^8}\

b)

am9n2 am^9n^{2\ }

c)

2m3n2 ⋅ 6m2n2m^3n^2\ \cdot\ ^6\sqrt{m^2n}

d)

2m3n2m2n2m^3n^2\sqrt{m^2n}

4.
In simplest radical form,
2√50 is equivalent to
a)
5√2
b)
7√2
c)
10√2
d)
4√5
5.
Simplify the expression.
b3 ⋅ b8
a)
2b11
b)
b5
c)
b11
d)
b24
6.
Simplify:
a)
√4√12
b)
4√12
c)
4√3
d)
2√3
7.

Simplify  +   86561+^{\ \ \ 8}\sqrt{6561} .  State your answer as an integer or a decimal to 2 places.

a)

3

b)

-3.24

c)

-3

d)

 ±9\pm9  

8.

Simplify   5−63,528\ ^5\sqrt{-63,528} .  State your answer as an integer or a decimal to 2 places.

a)

-9.13

b)

-9

c)

 ±9.13\pm9.13  

d)

No real answer

9.

Simplify    6272,817^{\ \ 6}\sqrt{272,817} .  State your answer as integer or a decimal to 2 places.

a)

 ± 8.05\pm\ 8.05  

b)

-8

c)

 ±8\pm8  

d)

8.05

10.
a)

A

b)

B

c)

C

d)

D