# Squares and Square Roots

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In this section we will discuss squares and square roots.

Square of a number and square numbers
The square of a number is that number raised to the power 2.
Thus, if ‘a’ is a number, then the square of a is written as a
2 and is given by a 2 = a x a.
That is, the square of a number is obtained by multiplying it by itself.
If a x a = b i.e. a
2 = b, then we say that the square of number a is number b or the number b is the square of number a.

For example : 1) 3 2 = 3 x 3= 9, so we say that the square of 3 is 9;
2) (-4)
2 = -4 x -4 = 16, so we say that the square of -4 is 16;
3) (3/5)
2 = (3/5) x(3/5) = 9/25 so we say that the square of (3/5) is 9/25;

Squares of some numbers are given below :
 Number Square Number Square 1 12 = 1 x 1 = 1 2 22 = 2 x 2 = 4 3 32 = 3 x 3 = 9 4 4 2 = 4 x 4 = 16 5 52 = 5 x 5 = 25 6 62 = 6 x 6 = 36 7 72 7 x 7 = 49 8 8 2 8 x 8 = 64 9 9 2 9 x 9 = 81 10 10 2 10 x 10 = 100 11 11 2 = 11 x 11 = 121 12 12 2 = 12 x 12 = 144 13 13 2 = 13 x 13 = 169 14 14 2 = 14 x 14 = 196 15 15 2 = 15 x 15 = 225 16 16 2 = 16 x 16 = 256 17 17 2 = 17 x 17 = 289 18 18 2 = 18 x 18 = 324 19 19 2 = 19 x 19 = 361 20 20 2 = 20 x 20 = 400 21 21 2 = 21 x 21 = 441 22 22 2 = 22 x 22 = 484 23 23 2 = 23 x 23 = 529 24 24 2 = 24 x 24 = 576 25 25 2 = 25 x 25 = 625 26 26 2 = 26 x 26 = 676 27 27 2 = 27 x 27 = 729 28 28 2 = 28 x 28 = 784 29 29 2 = 29 x 29 = 841 30 30 2 = 30 x 30 = 900

Squares and Square roots

Introduction of Squares and Square Roots
Perfect Squares or not
Properties of Square Numbers
Short cut method to find squares
Introduction of Square Roots
Properties of Square Roots
Square root by Prime factorization method
Square root by long division method
Square root of rational numbers
Square root of Decimals
Square root by estimation method

Number Sense