Square Root

What is a Square• A number multiplied by itself

gives another number which is said as square. • Example : What is the square of 2 ? Multiply 2 by 2 = 2 x 2 The square of 2 is 4.

Shortcut for Finding SquareIf you want to find the square of 2, draw a square with length and breadth as 2. Split the square with l=2 boxes and b= 2 boxes.Count the number of squares, which is the square of 2.

Square Root• The opposite of square is square

root.• The square root of a number is

another number which when multiplied by itself gives the square number.• i.e., The square root of 4 is 2. (2x2

gives 4)

Square Root Symbol• The square root

is represented by the radic symbol.• It has three

parts.

Square Root Symbol

How to Find Square Root• It is easy to find the square root of a

perfect square.• A perfect square is one which is the

product of two equal integers.

Examples of perfect squares : 1,4,9,16,25,36,49,......

Square Root of Perfect SquaresThe square root of 16 is 4 because (4x4=16)The square root of 49 is 7 because (7x7=49)Consider for 36, you can write 36 as

√36=√ 4×9=√4×√9=√2×2×√3×3=2×3=6

Square Root of Non Perfect Squares

Square root of 38. 38 is not a perfect square

Nearest perfect square on left side is 36. Square root of 36 is 6. 38 is in second position of 36. Hence square root of 38 is 6.2

30 35 4540 50

36 49

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