# What is the square root of 1600?

Jun 8, 2018

The square root of $1600$ is $40$

#### Explanation:

The square root of $1600$ is a number $m$ which multiplied with itself gives $1600$, i.e. ${m}^{2} = 1600$.

We know that $4 \times 4 = 16$ and $10 \times 10 = 100$.
Therefore $40 \times 40 = 1600$, so the square root of $1600$ is $40$.

Jun 8, 2018

$40$

#### Explanation:

$\sqrt{1600}$

$\therefore = \sqrt{40 \times 40}$

$\therefore \sqrt{a} \times \sqrt{a} = a$

$\therefore \sqrt{40} \times \sqrt{40} = 40$