If x -3-2 -2- thenthevalueof - x -1- x is-A- 1B- 2C- 2 -2D- -1

The correct option is C 2√2 [ ( √(x) + 1/√(x))^2 = x + 1/x + 2 = ( 3 + 2√(2)) + 1/(3 + 2√(2) ) + 2; = (3 + 2√(2) ) + 1/(3 + 2√(2) )×(3 2√(2) )/(3 2√ ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Integration by Substitution

If x =3+2 √2,...

Question

If $x = 3 + 2 \sqrt{2}, t h e n t h e v a l u e o f (\sqrt{x} + \frac{1}{\sqrt{x}})$ is:

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2√2

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

-1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C
2√2

$\begin{matrix} {(\sqrt{x} + \frac{1}{\sqrt{x}})}^{2} = x + \frac{1}{x} + 2 = (3 + 2 \sqrt{2}) + \frac{1}{(3 + 2 \sqrt{2})} + 2 = (3 + 2 \sqrt{2}) + \frac{1}{(3 + 2 \sqrt{2})} \times \frac{(3 - 2 \sqrt{2})}{(3 - 2 \sqrt{2})} + 2 = (3 + 2 \sqrt{2}) + (3 - 2 \sqrt{2}) + 2 = 8. ∴ (\sqrt{x} + \frac{1}{\sqrt{x}}) = 2 \sqrt{2} \end{matrix}$

Suggest Corrections

Similar questions

If $y = {tan}^{- 1} (\frac{2^{x}}{1 + 2^{2 x + 1}})$ , then $\frac{d y}{d x}$ at $x = 0$ is

If $x = \frac{\sqrt{3} + 1}{\sqrt{3} - 1} a n d y = \frac{\sqrt{3} - 1}{\sqrt{3} + 1}, t h e n t h e v a l u e o f (x^{2} + y^{2}) i s :$

If x = 1, then the value of

$\frac{2 + x}{1 + \sqrt{3 + x}} + \frac{2 - x}{2 - \sqrt{2 - x}} = ?$

Q. If

| x^{2} + 1 | = 2 x

, then

x =

The function $f (x) = 2 x^{3} - 3 x^{2} - 12 x + 8$ has maximum at x =

Join BYJU'S Learning Program

If x=3+2√2,thenthevalueof(√x+1√x) is:

The correct option is C 2√2 (√x+1√x)2=x+1x+2=(3+2√2)+1(3+2√2)+2=(3+2√2)+1(3+2√2)×(3−2√2)(3−2√2)+2=(3+2√2)+(3−2√2)+2=8.∴(√x+1√x)=2√2

If $x = 3 + 2 \sqrt{2}, t h e n t h e v a l u e o f (\sqrt{x} + \frac{1}{\sqrt{x}})$ is: