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:

$D.$  $x = 20$

Step-by-step 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 $\sqrt{97x$

$\sqrt{97 x} = \sqrt{97 * 20}$

Express 20 as 4 * 5

$\sqrt{97 x} = \sqrt{97 * 4 * 5}$

Reorder

$\sqrt{97 x} = \sqrt{4 *97 * 5}$

Split

$\sqrt{97 x} = \sqrt{4} *\sqrt{97 * 5}$

$\sqrt{97 x} = 2*\sqrt{97 * 5}$

$\sqrt{97 x} = 2*\sqrt{485}$

$\sqrt{97 x} = 2\sqrt{485}$

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

Hence:

$x = 20$