Question

RATIONALISE THE DENOMINATOR of ysquare/square root Xsquare + ysquare + x​

Answer 1

Answer:

$\sqrt{x^2+y^2}-x$

Step-by-step explanation:

RATIONALISE THE DENOMINATOR of

$\frac{y^2}{\sqrt{x^2+y^2}+x}$

To rationalize the denominator, we muliply both numerator and denomintor by the conjugate $\sqrt{x^2+y^2}+x$

Now,

$\frac{y^2}{\sqrt{x^2+y^2}+x}$

$=\frac{y^2}{\sqrt{x^2+y^2}+x}*\frac{\sqrt{x^2+y^2}-x}{\sqrt{x^2+y^2}-x}$

$=\frac{y^2\sqrt{x^2+y^2}-x}{(\sqrt{x^2+y^2})^2-x^2}$

$=\frac{y^2\sqrt{x^2+y^2}-x}{x^2+y^2-x^2}$

$=\frac{y^2\sqrt{x^2+y^2}-x}{y^2}$

$=\sqrt{x^2+y^2}-x$

Answer 2

Step-by-step explanation:

here the answer

hope u understand