Question

Simplify : √5 - 2/√5 + 2

Answer 1

[tex]( \sqrt{5} - 2)/( \sqrt{5} + 2) [/tex]


By rationalisation,

[tex]( \sqrt{5} - 2)*( \sqrt{5} - 2) / ( \sqrt{5} + 2)*( \sqrt{5} - 2) [/tex]

Now,

$( \sqrt{5} - 2)^{2} / ( \sqrt{5}^{2} - 2^{2}$



= (5+4-4root5) / (5-4)

= $9- 4\sqrt{5}$

i hope this will help you


-by ABHAY

Answer 2

HELLO DEAR,

$\frac{ \sqrt{5} - 2 }{ \sqrt{5} + 2 } \\ \\ = > \frac{ \sqrt{5} - 2 }{ \sqrt{5} + 2 } \times \frac{ \sqrt{5} - 2 }{ \sqrt{5} - 2 } \\ \\ = > \frac{5 + 4 - 4 \sqrt{5} }{5 - 4} \\ \\ = > \frac{9 - 4 \sqrt{5} }{1}$

I HOPE ITS HELP YOU DEAR,
THANKS