The square root of 144 by the method of repeated subtraction is ____.

Question

Accepted Answer

Concept: The square root of 144 is 12. As we already know, the sequence of odd integers is

1, 3, 5, 7, etc . ((2 n - 1)) .

Where, by changing the value of n, we may obtain the subsequent term in the series. The procedures listed below can be used to use the formula above to determine the square root of any perfect square:
1. Write the number whose square root has to be determined first, and then, beginning with one, begin subtracting odd numbers from the number.
2. Continue taking away odd numbers till we reach zero.
3. Once we have zero, take the square root of the previous odd integer we subtracted by equating it to (2n-1) and finding the value of n.
The square root of 144 must be determined.
The procedures outlined above can be used to calculate the square root of any perfect square. The repeated subtraction method is the name given to this technique. It is incredibly simple to use and comprehend.
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.

144 - 1 = 143

\Rightarrow 143 - 3 = 140

\Rightarrow 140 - 5 = 135

\Rightarrow 135 - 7 = 128

\Rightarrow 128 - 9 = 119

\Rightarrow 119 - 11 = 108

\Rightarrow 108 - 13 = 95

\Rightarrow 95 - 15 = 80

\Rightarrow 80 - 17 = 63

\Rightarrow 63 - 19 = 44

\Rightarrow 44 - 21 = 23

\Rightarrow 23 - 23 = 0

As 23 was the last odd number we subtracted, the situation is now. Therefore, we will now use the equation (2n-1) =23 to determine the value of n. Consequently
Now that n=12, let's go on. Therefore, 12 will be 144 squared.
So, 12 is equal to the square root of

144

.
Hence, the correct answer is 12
ExamType: CBSE

The square root of 144 by the method of repeated subtraction is ____.

Best Courses for You

Detailed Solution

courses

Get Expert Academic Guidance – Connect with a Counselor Today!

best study material, now at your finger tips!

download the app

Download the App