Question

x+1/x = 5 ,then √x + 1/√x=

Answer 1

x+1/x=5
=x+1=5x
=. 1=5x-x
=. 1=4x
=. 1/4=x
=. x=1/4.
=. root x=1/2

root x + 1/root x = 1/2 +1/1/2
= 0.5 +1 /0.5
=1.5/0.5
=3.
Hence the answer is 3.

Answer 2

x + 1/x = 5

=> x + (1/x) + 2 = 5+2

${ \sqrt{x} }^{2} + \frac{1}{ { \sqrt{x} }^{2} } + 2 \times \sqrt{x } \times \frac{1}{ \sqrt{x} } = 7 \\ { (\sqrt{x} + \frac{1}{\sqrt{x} }) }^{2} = 7 \\ \sqrt{x} + \frac{1}{ \sqrt{x} } = \sqrt{7}$