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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

Respuesta :

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

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

Answer:

 Option D

Step-by-step explanation:

Given :  [tex]6x^\frac{3}{4}[/tex]

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,

[tex]a^\frac{x}{n}=\sqrt[n]{a^x}[/tex]

Now, using above formula we can write

[tex]x^\frac{3}{4}=\sqrt[4]{x^3}[/tex]

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

therefore option D is correct

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