Question

Please give me correct answer.

Answer 1

this is your answer .


3+ √5 + 4/ 3+√5 * 3-√5 / 3-√5 .


3 - √5 +4 ( 3-√5 ) / 4


3-√5 + 3+ √ 5


=> 6 .



hope it helps!!

thanks

Answer 2

HELLO DEAR

given that:-

a=5/3-√5

rationalize it

we get,
$a = \frac{4}{3 - \sqrt{5} } \\ \\ = \frac{4}{3 - \sqrt{5} } \times \frac{3 + \sqrt{5} }{3 + \sqrt{5} } \\ \\ = \frac{4(3 + \sqrt{5}) }{9 - 5} \\ \\ = \frac{4(3 + \sqrt{5} )}{4} \\ \\ a = (3 + \sqrt{5} )$

now put this VALUE of "a" in Equation

a+4/a

we get,
$(3 + \sqrt{5} ) + \frac{4}{3 + \sqrt{5} } \\ \\ = 3 + \sqrt{5} + \frac{4}{3 + \sqrt{5} } \times \frac{3 - \sqrt{5} }{3 - \sqrt{5} } \\ \\ = 3 + \sqrt{5} + \frac{4(3 - \sqrt{5}) }{9 - 5} \\ \\ = 3 + \sqrt{5} + \frac{4(3 - \sqrt{5} )}{4} \\ \\ 3 + \sqrt{5} + 3 - \sqrt{5} \\ \\=> 6 \\ \\ hence \: \\ \\ a + \frac{4}{a} = 6$
I HOPE ITS HELP YOU DEAR,
THANKS