# Between which 2 whole numbers is the square root of 50?

Nov 15, 2016

$\sqrt{50} \text{ }$ lies between 7 and 8.

#### Explanation:

It helps to know the first 20 square numbers by heart.

Which are the square numbers close to 50?

$\textcolor{w h i t e}{\times \times x} 50$
$\textcolor{w h i t e}{\times \times x} \downarrow$
$36 \text{ "49" "64" "81" } \leftarrow$ these are the perfect squares

$\text{ "6" "7" "8" "9" } \leftarrow$these are their square roots
$\textcolor{w h i t e}{\times \times \times} \uparrow$
$\textcolor{w h i t e}{\times \times} \sqrt{50}$

$\sqrt{50} \text{ }$lies between 7 and 8.