Question

Please solve this question.

Answer 1

Answer:

squaring both numerator and denominator, we get:

1 / (5+2√6)

Now multiply it up n down by (5-2√6):

{1 / (5+2√6)} × {(5-2√6)/ (5-2√6)}

(5-2√6) / (25-24)

5-2√6. Ans.

Answer 2

Answer:

Let x/a = y/b = z/c = k, [By k method]

x = ak, y= bk and z=ck

L.H.S. = a3k3/a2 + b3k3/b2 + c3k3/c2 > k3[a + b + c]

R.H.S. = [ak + bk + ck]3/[a + b + c)2 → k3[a + b + c]3/[a + b + c)2

= k3(a + b + c)

L.H.S. = R.H.S. =

Hence proved.