Find the Side Length of a Square with Area 49: Square Root Problem

Question

A square has an area of 49.

How long are its sides?

00:00 Find the side of the square

00:03 We'll use the formula for calculating the area of a square (side squared)

00:08 We'll substitute appropriate values and solve to find the side

00:14 Extract the root

00:18 When extracting a root there are always 2 solutions

00:22 The length of the side must be greater than 0

00:27 And this is the solution to the question

Since the area of the square is equal to the side raised to the 2nd power, we use the formula to find the side:

$49=a^2$

$a=7$

$7$