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Square Root of DecimalsWe can find the square root of decimals by converting it into rational numbers.Examples 1) √1.44 = √144/√100 = 12/10 = 1.2 2) √0.0081 = √81/√10000 = 9/100 = 0.09 3) √37.0881 Solution: First convert 37.0881 into a rational number and then find the square root by prime factorization or long division method. √37.0881 = √(370881/10000) But √370881 = 609 √10000 = 100 ∴ √37.0881 = 609 / 100 = 6.09 ________________________________________________________________ Square Root of Decimal Number We may find the square root of a decimal number without converting it into a rational number. We do it as follows : Example : √21.16
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 Home Page
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