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Shortcut to find the square root

square root x

This trick will help you to find the square roots using shortcut. Learn the shortcut with the simplified steps given below.

We have to remember the ending digit of the square of numbers from 1 to 9. i,e square root of 9 is 81. So it ends with 1. Square of 8 is 64, so it ends with 4.

Step 1: Divide the numbers in pairs of two, starting from right side. For example lets us consider

1156, which can be split as 11 and 56

Step 2: From the first part (i.e 11) find the nearest square number.

Nearest square number below 11 is 9. Square root of the square 9 is 3. So the 1st part of the answer is 3.

Step 3: Now lets take the second part (i.e 56) and see the ending number. Its 6. Use that number to find the square root number from the table above.

For 6 we can either get 4 or 6

Step 4: From the above steps we can conclude that the square root will be either 34 or 36. 3 derived from first part in step 3. 4 or 6 derived from second part in step 6.

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