### Home > ACC7 > Chapter 9 Unit 10 > Lesson CC3: 9.2.3 > Problem9-89

9-89.

Determine the positive value that makes each equation true. If the answer is not a whole number, write it as a square root, and then approximate it as a decimal rounded to the nearest tenth.

1. If $x^{2} = 36$, $x =\: ?$

What number multiplied by itself is $36$?

${\it x} = \sqrt{36}$

$x = 6$

1. If $x^{2} = 65$ , $x =\: ?$

Is $65$ the square of any whole number?

$\sqrt{65}$ is approximately equal to $8.1$.

1. If $x^{2} = 84$, $x =\: ?$

Is $84$ the square of any whole number?

1. If $x^{2} = 13$, $x =\: ?$

Is $13$ the square of any whole number?

$x ≈ 3.6$