Question

if x^3=16,y^3=32,find the value of xy

plz solve this..it's urgent​

Answer 1

Given,

• x³ = 16
• y³ = 32

$\sf{\implies x^3y^3=16\times32}$

$\sf{\implies x^3y^3=512}$

$\sf{\implies (x^2y^2)(xy)=256\times2\ \ [Just \ splitting \ them]}$

Here 256 is a clear square of some number.

Lets find it.

So,

$\sf{\implies x^2y^2=256}$

$\sf{\implies xy=\sqrt256}$

$\sf{\implies xy=16}$

$\boxed{\bold{\sf{\therefore xy=16}}}$