Question

Express 1/√7−2
with rational denominator.

Answer 1

Answer:

$\\ \sf {:}\longrightarrow \dfrac{1}{\sqrt{7}-2}$

$\\ \sf {:}\longrightarrow \dfrac{1(\sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)}$

$\\ \sf {:}\longrightarrow \dfrac{\sqrt{7}+2}{(\sqrt{2})^2-(2)^2}$

$\\ \sf {:}\longrightarrow \dfrac{\sqrt{7}+2}{7-4}$

$\\ \sf {:}\longrightarrow \dfrac{\sqrt{7}+2}{3}$