Question

rationalize the denominator 1/ root 5 -2

Answer 1

Answer:

so answer is √5+2 see attachment

Answer 2

$given : - \\ \frac{1}{ \sqrt{5} - 2 } \\ \\ to \: rationalize \: the \: denominator \\ \\ \huge \underline{solution : - } \\ \\ \frac{1}{ \sqrt{5} - 2 } \\ \\ = > \frac{1}{ \sqrt{5} - 2} \times \frac{ \sqrt{5} + 2}{ \sqrt{5} + 2) } \\ \\ = > \frac{1( \sqrt{5} + 2 }{ {( \sqrt{5}) }^{2} - {2}^{2} } \\ \{using \: formula \: (a - b)(a + b) = {a}^{2} - {b}^{2} \} \\ \\ = > \frac{ \sqrt{5} + 2}{5 - 4} \\ \\ = > \frac{ \sqrt{5} + 2 }{1} \\ \\ = > \sqrt{5} + 2$

Hence rationalised.

hope it helps.