Surd and Indices

Vedic Maths trick to find which is greater value.

Property of Indices:

am * an = am + n

am / an = am - n

( am ) n = am * n

( ab )n = an * bn

( a / b )n = an / bn

( a )-n = 1 / an

( a )1/n = n√ a

( a )0 = 1

Property of Surd:

n√ a = ( a )1/n

n√ ab = ( a )1/n * ( b )1/n

n√ a/b = n√ a / n√ b

[ n√ a ]n = a

m√ n√ a = mn√ a

[ n√ a ]m =( a )m/n

Let's take 2 values 2√40 and 7√90

Find which is greater :

= 4012 and 9017

Now we will find the LCM of the denominator of the power value :
LCM = 14

= 40714 and 90214

= 163840000000114 and 8100114

So, the greatest value is : 163840000000