# What is the set of numbers to which sqrt(10.24) belong?

Oct 25, 2016

$\sqrt{10.24} = 3.2$ so it is a rational number.

#### Explanation:

$\sqrt{10.24}$

= $\sqrt{\frac{1024}{100}}$ , as $1024 = \underline{2 \times 2} \times \underline{2 \times 2} \times \underline{2 \times 2} \times \underline{2 \times 2} \times \underline{2 \times 2}$

= sqrt(2^10/10^2

= ${2}^{5} / 10$

= $\frac{32}{10}$

= $3.2$

The number can be written as a fraction, so it is a rational number.