Square Roots/ Prime Factorisation /Math

Square Roots:

The square of a number is that number multiplied by itself.
The square of 12 is 144.

The square root of a number is that number whose square is equal to the given number.

The square root of 4 is 2.

0, 1, 4, and 9 are the squares of whole numbers, and they are called perfect squares.

Q.1. Finding Square Root using Prime Factorisation
Find 324 by using prime factorisation.

324 = 2 x 2 x 3 x 3 x 3 x 3

= ( 2 x 3 x 3 ) x ( 2 x 3 x 3)

= ( 2 x 3 x 3) 2

= 18

https://drive.google.com/file/d/163-RqDFhP0rZTsNR82IdVebjsll8M37l/view?usp=sharing

When estimating square roots of numbers, you need to determine.
Between which two perfect squares it lies (and therefore which 2 square roots).
Which perfect square it is closer to (and therefore which square root).

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