### Home > CC3 > Chapter Ch9 > Lesson 9.2.4 > Problem9-116

9-116.

Identify the following numbers as rational or irrational. If the number is rational, show that it can be written as a fraction.

1. $\sqrt { 36 }$

Is there a whole number that can be squared to get 36?

$\sqrt{36} = 6 = \frac{6}{1}$

Is this number rational?

1. $0.\overline{62}$

Use the method you learned earlier to convert this number to a fraction.

$.\overline{62}$ has two repeating digits, so you put them over $99$.

$\frac{62}{99}$

Is this number rational?

1. $\sqrt { 92 }$

Is the square root of $92$ a whole number, a terminating decimal, or a repeating decimal?