This method can be used for small perfect squares say up to 250. The steps to be followed are as follows
Step I: Obtain the number whose square root is to be found.
Step II: Subtract the odd numbers 1,3,5,7,9,13,15,...successively from the given number.
Step III: If the given number is a perfect square, we will get zero at some stage. We stop at the point where we have got zero.
Step IV: The number of times we have performed subtraction will be the square root of the given number.
Illustration: Find the square root of 64 by successive subtraction of odd numbers.
Solution: Subtracting the odd numbers successively, we get
64 - 1 = 63
63 - 3 =60
60 - 5 = 55
55 - 7 = 48
48 - 9 = 39
39 - 11 = 28
28 - 13 = 15
15 - 15 = 0
Hence, we performed subtraction 8 times.
therefore,
Illustration: Find the square root of 25 by successive subtraction of odd numbers.
Solution: Subtracting the odd numbers successively, we get
25 - 1 =24
24 - 3 =21
21 - 5 =16
16 - 7 = 9
9 - 9 = 0
Hence, we performed subtraction 5 times.
therefore,
What is the number obtained in the 4th step after subtracting odd numbers while calculating the square root of 10 by the method of "successive subtraction of odd numbers" ? | |||
Right Option : D | |||
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What is the number obtained in the 19th step after subtracting odd numbers while calculating the square root of 441 by the method of "successive subtraction of odd numbers" ? | |||
Right Option : A | |||
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What is the number obtained in the 5th step after subtracting odd numbers while calculating the square root of 49 by the method of "successive subtraction of odd numbers" ? | |||
Right Option : A | |||
View Explanation |
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