Answered

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

Verified Answer :

JcAlmighty

The answer is 6 ^3square root of x^4

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

Answer:

 Option D

Step-by-step explanation:

Given :  \(6x^\frac{3}{4}\)

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,

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

Now, using above formula we can write

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

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

therefore option D is correct