Question

if a=3+
$\sqrt{8}$
then find value of
$\sqrt{a} - \frac{1}{ \sqrt{a} }$


​

Answer 1

first substitute and then solve

Answer 2

putting value of a in given equation,

we get,

$= 3 + \sqrt{8} - 1 \div 3 + \sqrt{8} \\ = 9 + 8 - 1 \div 3 + \sqrt{8 } \\ = 16 \div 3 + \sqrt{8} \\ = 16 \div 3 + \sqrt{8} \times 3 - \sqrt{8} \times 3 - \sqrt{8} \\ = 16(3 - \sqrt{8} ) \div 9 - 8 \\ = 16(3 - \sqrt{8}) \div 1 \\ = 16(3 - \sqrt{8)} \: or \: 48 - 16 \sqrt{8}$

Hope it helps you!!!