Question

Which of the following represents 6x^3/4 in radical form? choices: ^3 square root of 6x ^4

^4 square root of 6x^3
6 ^3square root of x^4
6 ^4square root of x^3

Answer 1

Option D

Explanation:

Given :
`6x^(3)/(4)`

To find : radical form of function

Solution : Radical form is defined by n is a positive integer that is greater than x and a is a real number or a factor then,

`a^(x)/(n)=\sqrt[n]{a^x}`

Now, using above formula we can write

`x^(3)/(4)=\sqrt[4]{x^3}`

Required result is
`6x^(3)/(4)=6\sqrt[4]{x^3}`

therefore option D is correct

Answer 2

The answer is 6 ^3square root of x^4


`6 x^(3/4) \\ \\ x^(m/n) = \sqrt[n]{ x^(m) } \\ \\ 6 x^(3/4)=6 \sqrt[4]{ x^(3) }`