Question

if a is equal to 5 + root 24 then root a + 1 by root a equal to​

Answer 1

Answer:

$a = \frac{1}{5 + \sqrt{24} } \\ on \: rationalising \: we \: get \\ a \: = 5 - \sqrt{24} \\ = > \frac{1}{a } = \frac{1}{5 - \sqrt{24} } \\ on \: rationalising \: we \: get \\ \frac{1}{a } = 5 + \sqrt{24} \\ now \\( { \sqrt{a} + \frac{1}{ \sqrt{a} } )}^{2} = a + \frac{1}{a} + 2 = 5 - \sqrt{24} + 5 + \sqrt{24} + 2 = 12 \\ = > \sqrt{a} + \frac{1}{ \sqrt{a} } = \sqrt{12} = 2 \sqrt{3}$

the answer is 2√3..