What is the square root of 133?

Mar 3, 2018

$\approx 11.55$ in estimation, $11.53$ actual.

Explanation:

Given: $\sqrt{133}$

We have:

$133 = 7 \cdot 19$

Using approximation,

$\sqrt{133}$

$= \sqrt{7} \cdot \sqrt{19}$

$\approx 2.65 \cdot 4.36$

$\approx 11.55$

Using a calculator, I get $11.53$ however.

Note that I only took the principal square root, which is usually used.