Surd and Indices

Vedic Maths trick to calculate Surd and Indices.

Q.1) If a/b = c/d = 2/5 , then evaluate : - [a4 + c4 / b4 + d4]1/4

Let a/b = c/d = 2/5 = k ....................(1)

a/b = c/d = k

a = bk , c = dk

According to the question put the power of 4

a4 = k4b4....................(2)

c4 = k4d4....................(3)

Add equation (2) and (3)

a4 + c4 = k4b4 + k4d4

a4 + c4 = k4(b4 + d4)

a4 + c4 / b4 + d4 = k4....................(4)

putting the value from equation (4)

[a4 + c4 / b4 + d4]1/4 = [k4]1/4

Now from equation (1)

2/5 = k

k = 2/5