Thus, if b is the square root of a number a, then

b x b = a or b

The square root symbol is √a

It follows from this that

b = √a ⇔ b

i. e. b is the square root of a if and only if a is the square of b.

Example: 1) Square root of 16 is 4

(√16 = 4)

2) Square root of 3 is not a whole number.

(√3=1.73)

3)Square root of 9 is 3

(√9 = 3)

(i) √ 4 = 2, because 2

(ii) √9 = 3, because 3

(iii) √324 = 18, because 18

(iv) √1225 = 35, because 35

(v) √10,000 = 100, because 100

(vi) √a

However we agree that the square of a number will be taken to positive square root only . Thus, √4 = 2.

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1)√13x13 = -----

2) √c x c = -----

3) √19 x19 = -----

4) √(d x d x a x a) = -----

5) √10 x10 = -----

• 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

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