Question

I need help.

Simplify square root of 5 multiplied by the cube root of 5.
A.)5 to the power of 5 over 6
B.)5 to the power of 1 over 6
C.)5 to the power of 2 over 3
D.)5 to the power of 7 over 6

Answer 1

Simplifying
2
√
5
3
√
5
gives
5
5
6
, or approximately 3.8236.

To simplify this expression, the two rules we will use are as follows:

n
√
a
=
a
1
n
a
m
a
n
=
a
m
+
n
Applying these two rules, the simplification process is as follows:

2
√
5
3
√
5
=
5
1
2
5
1
3
=
5
1
2
+
1
3
=
5
5
6
≈
3.8236
Using our rules of exponents, we get that simplifying
2
√
5
3
√
5
gives
5
5
6
, or approximately 3.8236.