Question

What is the simplified form of


`\sqrt[7]{x ^(5) } * \sqrt[7]{ {x}^(5) }`
A.

`√(x)`
B.

`x(4)/(9)`
C.

`x`
D.

`x \sqrt[7]{ {x}^(3) }`

Answer 1

To simplify the expression √7{x 5} × √7{x 5}, you can multiply the radicands together and simplify the result.

Step-by-step explanation:

To simplify the expression √7{x 5} × √7{x 5}

We can use the properties of radicals to simplify the expression. When multiplying radicals with the same index, we can simplify by multiplying the radicands together. In this case, the radicands are both x5, so the simplified form will be:

√7{x 5} × √7{x 5} = √7{x 5 × x 5} = √7{x10}

Therefore, the simplified form of the expression is √7{x10}.

Answer 2

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.

`\sqrt[7]{x^(5)}  * \sqrt[7]{x^(5)} = \sqrt[7]{x^(10)}`

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.

`x\sqrt[7]{x^(3) }`