Find the square root of 144 by the method of repeated subtraction.

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answer is C.

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Detailed Solution

Concept- As we are all aware, the odd number sequence is

. Where, by changing the value of

, we may obtain the subsequent term in the series.
Now, using the approach of repeated subtraction, we can determine the square root of 144. 144 odd numbers are subtracted, and the result is 0.

Now that we have removed 23, the last odd number is 23. We will now calculate the value of n using the following equation:

.
Then,

Now, as the value of

. So, the square root of 144 will be 12 .
Hence, [19]the correct answer is option 3.

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