Question

How are square roots related to the area of a square ?

Answer 1

If you have a square, then

-- Its area is the SQUARE of the length of its side,and

-- The length of its side is the SQUARE ROOT of its area.

That's where these numbers got the names 'square' and 'square root'.

Answer 2

If we know that area of a square is
`A=a^2`,
where a is one side
applying square roots we can find side knowing the area
a=
`√(A)`
where A is area of a square.
Its the relationship between square roots and area of a square.