Question

3When 1,250^3/4 is written in its simplest radical form, which value remains under the radical?O 10O 6O 502

Answer 1

The given expression is:

`1250^{(3)/(4)}`

Find the prime factorization of the number 1250:

`1250=2*5^4`

Therefore,

`\begin{gathered} 1250^{(3)/(4)}=(2*5^4)^{(3)/(4)}=5^{4*(3)/(4)}*2^{(3)/(4)} \\ =5^3*2^{(3)/(4)} \\ =125(\sqrt[4]{2})^3 \end{gathered}`

Therefore, the number that remains under the radical is 2.

Hence, the correct answer is 2