Question

When 1,250^3/4 is written in simplest radical form, which value remains under the radical?

2
5
6
8

Answer 1

d or 2

Explanation:

Answer 2

2 is inside the radical.

Explanation:

We have to write the radical expression
`1250^(3/4)` in simplest form

Let us find the factors of 1250

`1250 = 2*5^4`

Hence, we can rewrite the radical expression as

`(2*5^4)^(3/4)`

Using the exponent rule
`(x^a)^b=x^(ab)`

`(2^(3/4))*(5^(4\cdot3/4))\\\\=2^(3/4)*125`

Hence, we have 2 is inside the radical.