Introduction of Square Roots
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Introduction of square roots :
The square root of a number a is that number which when multiplied by itself gives a as the product.
Thus, if b is the square root of a number a, then
b x b = a or b2
The square root symbol is √a
It follows from this that
b = √a ⇔ b2
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)Square root of 9 is 3
(√9 = 3)
Example on finding the square roots :
(i) √ 4 = 2, because 22
(ii) √9 = 3, because 32
(iii) √324 = 18, because 182
(iv) √1225 = 35, because 352
(v) √10,000 = 100, because 1002
= a, because a2
= a x a.
Since 4 = 22
, therefore 2 and -2 can both be the square roots of 4.
However we agree that the square of a number will be taken to positive square root only . Thus, √4 = 2.
1)√13x13 = -----
2) √c x c = -----
3) √19 x19 = -----
4) √(d x d x a x a) = -----
5) √10 x10 = -----
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
From squares and square roots to Exponents
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