Answer:
STEPS
- Step I: Obtain the given number.
- Step II: Resolve the given number into prime factors by successive division.
- Step III: Make pairs of prime factors such that both the factors in each pair are equal. Since the number is a perfect square, you will be able to make an exact number of pairs of prime factors.
- Step IV: Take one factor from each pair.
- Step V: Find the product of factors obtained in step IV.
- Step VI: The product obtained in step V is the required square root.
Example
Find the square root of 324
- 324 = 2 x 162
- = 2 x 2 x 81
- = 2 x 2 x 3 x 27
- = 2 x 2 x 3 x 3 x 9
- = 2 x 2 x 3 x 3 x 3 x 3
- ∴ √324 = √( 2 x 2 x 3 x 3 x 3 x 3 )
- √324 = 2 x 3 x 3
- √324 = 18