# Surd and Indices

**Vedic Maths trick to calculate Surd and Indices.**

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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} = a^{2} + b^{2} + 2ab

= 4 + 3 + 2 √12

= (√4)^{2} + (√3)^{2} + 2 √4 * √3

= (√4 + √3)^{2}

**Square root of 7 + 2 √12 = (√4 + √3)**^{2}

^{2}

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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} = a^{2} + b^{2} - 2ab

= 3 + 2 - 2 √6

= (√3)^{2} + (√2)^{2} - 2 √3 * √2

= (√3 - √2)^{2}

**Square root of 5 - 2 √6 = (√3 - √2)**^{2}

^{2}