Question

In a=
$\sqrt{15 + 4 \sqrt{14} }$
and b=
$\sqrt{15 - 4 \sqrt{14} }$
then find the value of a cube+ b cube

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Answer 1

Answer:

58√8

Step-by-step explanation:

a^3+b^3=(a+b)(a^2-ab+b^2)

By factorization method...

we can calculate the root of 15+4√14

i.e.√8+√7

Here we can substitute the values of ab by a^2-b^2 formula..