Shortcuts On Finding The Square Root

Shortcuts on Finding Square Roots

Finding the square root of a 4-digit perfect square ending in 5

Sample Problem Number One :

Find the square root of  5675

Step One :   Drop the first two digits of the square .   56

Step Two:    Find the largest square root of the remaining digits. This is the first digit of

                    The square root. Find the largest root in 56 :

                      7 X 7  =  49

                     The first digit in the square root is 7

Step Three :  Append 5 to 7 =è75

Therefore the square root of 5625 is 75.

Sample Problem Number Two:

Find the square root of 7225

Step One :       72

Step Two :      Find the largest square root  in 72.

                       8  X  8   =   64

                      The first  digit in the square root is 8.

Step  Three :  Append   5 to 8

Therefore the square root of 7225  is   85.

Sample Problem  Three :   Find the square root of  3025

Step One :   30

Step Two;   Find the largest square root in  30

                      5 X 5  =   25

                     The first digit  in the square root is 5.

Step Three :   Append   5 to 5

Therefore the square root of  3025   is   55.

Sample Problem  Number Four : Find the square root of  9025

Step One : 90

Step Two : Find the largest square root in 90

                  9 X 9  =   81

                  The first digit in the square root is 9.

Step Three :   Append  5  to  9

Therefore the square root of 9025 is 95.