Question

2/√2 + √5- √11 [rationalise the denominator] please solve fast and please don't write idiot answer.

Answer 1

Answer:

$\huge\boxed{\bigstar\:\:\:\frac{\sqrt{2}+\sqrt{5}+\sqrt{11}}{\sqrt{10} -2}\:\:\:\bigstar}$

Step-by-step explanation:

✴ To Rationalize:-

  $\frac{2}{\sqrt{2}+\sqrt{5}-\sqrt{11} }$

✴ Rationalisation:-

$\implies{\frac{(2)(\sqrt{2}+\sqrt{5}+\sqrt{11})}{(\sqrt{2}+\sqrt{5}-\sqrt{11})(\sqrt{2}+\sqrt{5}+\sqrt{11}) }}$

$\implies\frac{2\sqrt{2}+2\sqrt{5}+2\sqrt{11}}{(\sqrt{2}+\sqrt{5})^2-(\sqrt{11})^2}$

$\implies\frac{2\sqrt{2}+2\sqrt{5}+2\sqrt{11}}{2+5+2\sqrt{10} -11}$

$\implies\frac{2\sqrt{2}+2\sqrt{5}+2\sqrt{11}}{2\sqrt{10} -4}$

$\implies\frac{2(\sqrt{2}+\sqrt{5}+\sqrt{11})}{2(\sqrt{10} -2)}$

$\implies\boxed{\frac{\sqrt{2}+\sqrt{5}+\sqrt{11}}{\sqrt{10} -2}}$

Answer 2

Answer:

Please mark my answer as brainliest