Question

For which value of x must the square root

97x

be further simplified

Answer 1

Question:

For which value of x must the expression √97x be further simplified?

A. 5 B. 10 C. 15 D. 20

Answer:

`D.`
`x = 20`

Explanation:

Given

`\sqrt{97x`

Required

For what value of x can it be simplified

From the list of options, only (D) is correct

D. 20

Substitute 20 for x in
`\sqrt{97x`

`√(97 x) = √(97 * 20)`

Express 20 as 4 * 5

`√(97 x) = √(97 * 4 * 5)`

Reorder

`√(97 x) = √(4 *97 * 5)`

Split

`√(97 x) = √(4) *√(97 * 5)`

`√(97 x) = 2*√(97 * 5)`

`√(97 x) = 2*√(485)`

`√(97 x) = 2√(485)`

With other values of x, the given expression can not be simplified.

Hence:

`x = 20`