Question

The number obtained on rationalizing the denominator of 1/(√7-2) is

Answer 1

Answer:

$\frac{1}{(\sqrt{7} - 2)} \\\\Rationalize\\\\= [\frac{1}{(\sqrt{7} - 2)}].[\frac{(\sqrt{7} +2)}{(\sqrt{7} +2)} ]\\\\= \frac{(1)(\sqrt{7} +2)}{(\sqrt{7} - 2)(\sqrt{7} + 2)} \\\\= \frac{\sqrt{7} +2}{(\sqrt{7} )^2 - (2)^2}\\\\= \frac{\sqrt{7} +2}{7 - 4} \\\\= \frac{\sqrt{7} +2}{3}$