contestada

what is the simplified form of
[tex] \sqrt[7]{x ^{5} } \times \sqrt[7]{ {x}^{5} } [/tex]
A.
[tex] \sqrt{x} [/tex]
B.
[tex] x\frac{4}{9} [/tex]
C.
[tex]x[/tex]
D.
[tex]x \sqrt[7]{ {x}^{3} } [/tex]

Respuesta :

Answer:

The correct answer is D.

Step-by-step explanation:

In order to find this, we need to start by multiplying the two numbers under the square root symbol.

[tex]\sqrt[7]{x^{5}}  * \sqrt[7]{x^{5}} = \sqrt[7]{x^{10}}[/tex]

Now we can simplify further. Since we're looking for the 7th root, we can pull out a factor of 7 as an x, leaving behind x^3.

[tex]x\sqrt[7]{x^{3} }[/tex]