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Roots

We come across square roots and cube roots concept where we need to find a number which when multiplied by itself certain number of times gives us the original number.

9\sqrt{9} is 3 because 3 * 3 = 9.

relation to square in geometry

Square roots give the length of the side of a square given its area. This is exactly why it's called a square root.^

The word root here means, it will get us the fundamental measure of the geometric shape.

Similarly cube roots gives us the length of the side of a cube given its volume.

if x*x = y, then y\sqrt{y} is x.