The square root by long division method of number 67.24 is ____.

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Detailed Solution

Let the given number be 67.24. We have to make a pair from the right,

67 ¯ . 24 ¯

.
By using the long division method, we have
Question Image

In the next step, bring down 24 and make the remainder as 324. Double the first divisor to get

8 × 2 = 16

. Let the digit d on the right 16 such that

16 d × d = 324

. By using hit and miss method, the digit is 2 since

162 × 2 = 324

As there is one pair of digits in 67.24 after decimal, put one decimal point after one digit in 82 from left to have the square root as 8.2.
Hence, the square root of 67.24 is 8.2.

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