Question

IF a= 1/(3+√5) then find value of √a+1/√a

Answer 1

Step-by-step explanation:

refer to the attachment

Answer 2

Answer:

$a = \frac{1}{3 + \sqrt{5} } \\ \\ {( \sqrt{a} + \frac{1}{ \sqrt{a} } )}^{2} = a + \frac{1}{a} + 2 \\ \\ = \frac{1}{3 + \sqrt{5} } +( 3 + \sqrt{5} ) + 2 = \frac{9+ 5 + 6 \sqrt{5} }{3 + \sqrt{5} } + 2 \\ \\ = \frac{14 + 6 \sqrt{5} }{3 + \sqrt{5} } + 2 = \frac{20 + 8 \sqrt{5} }{3 + \sqrt{5} }$