Square Root Using Successive Subtraction of Odd Numbers
Square Root Using Successive Subtraction of Odd Numbers
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 6th step after subtracting odd numbers while calculating the square root of 144 by the method of "successive subtraction of odd numbers" ? | |||
| Right Option : C | |||
| View Explanation | |||
What is the number obtained in the 13th step after subtracting odd numbers while calculating the square root of 225 by the method of "successive subtraction of odd numbers" ? | |||
| Right Option : B | |||
| View Explanation | |||
What is the number obtained in the 21th step after subtracting odd numbers while calculating the square root of 625 by the method of "successive subtraction of odd numbers" ? | |||
| Right Option : A | |||
| View Explanation | |||
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