Surd and Indices

Vedic Maths trick to calculate Surd and Indices.

Q.1) Find The square root of 7 + 2 √12

First we have to split 12 into the numbers as when we add that number we get 7 and multiply will be 12

so by formula

( a + b )2 = a2 + b2 + 2ab

= 4 + 3 + 2 √12

= (√4)2 + (√3)2 + 2 √4 * √3

= (√4 + √3)2

Square root of 7 + 2 √12 = (√4 + √3)2


Q.2) Find The square root of 5 - 2 √6

First we have to split 5 into the numbers as when we add that number we get 6 and multiply will be 5

so by formula

( a - b )2 = a2 + b2 - 2ab

= 3 + 2 - 2 √6

= (√3)2 + (√2)2 - 2 √3 * √2

= (√3 - √2)2

Square root of 5 - 2 √6 = (√3 - √2)2