Square Root of Lengthy Numbers Shortcuts to Fine

Will you provide me Short tricks to fine square root of lengthy numbers?

As you want to get Short Tricks to fine square root of lengthy numbers, so here I am providing the following Short Tricks:

Short Tricks to Fine Square Root of Lengthy Numbers

Check the units place (right most digit) of the given number. If you find 2, 3, 7 and 8 at the unit place then we can say that the given number is not a square number and you can't find square root for the given number.
Ex : 652 is not a square number because there is 2 at the unit place of the number.

The perfect square always ends with the numbers 1, 4, 5, 6, 9 and 0

Now you have got a number to find its square root. Which is having one of these numbers 1, 4, 5, 6, 9 at the end. Now check the below table.

Unit’s Place Factors
1 1 or 9
4 2 or 8
5 5
6 4 or 6
9 3 or 7
0 0

if the given number has 1 at the unit's place, then its square root will have 1 or 9 at the end (this is because 1x1 = 1 and 9 x 9 = 81)
if the given number has 4 at the unit's place, then its square root will have2 or 8 at the end (this ie because 2x2 = 4 and 8x8 = 64)
You know the logic behind 5
for 6, you will have 4 or 6 (4x4 = 16 and 6x6 = 36)
9, you will get 3 or 7 (3x3 = 9 and 7x7 = 49)

Step 1 : Take the Nearest Square of the first two digits of the number. Nearest square to the number 26 is 25 right?

Step 2 : Its root. (root of 25 is 5) -----------> First digit of our answer

Step 3 : Its double (double of 5 is 10)

__________________
Answered By StudyChaCha Member