Question

rationalize the denominator 2 by root 7 + root 6​

Answer 1

Answer:

rationalize the denominator 2 by root 7 + root 6

= 2( √7 - √6)

Answer 2

Answer:

$\large\boxed{\star\:\:2\sqrt{7}-2\sqrt{6}\:\:\star}$

Step-by-step explanation:

★To Rationalize:-

$\frac{2}{\sqrt{7}+\sqrt{6} }$

★Formula Applied:-

(a-b)×(a+b)=(a)²-(b)²

★Rationalization:-

$\implies\frac{2}{\sqrt{7}+\sqrt{6} }$

$\implies\frac{(2)\times(\sqrt{7}-\sqrt{6})}{(\sqrt{7}+\sqrt{6})\times(\sqrt{7}-\sqrt{6}) }$

$\implies\frac{(2)\times(\sqrt{7}-\sqrt{6})}{(\sqrt{7})^2-(\sqrt{6})^2 }$

$\implies\frac{2\sqrt{7}-2\sqrt{6}}{7-6}$

$\implies\frac{2\sqrt{7}-2\sqrt{6}}{1}$

$\implies\boxed{2\sqrt{7}-2\sqrt{6}}$