Question

Pls tell the answer of this really needed :
If x=7-4√3 then find the value of √a+1/√a

Answer 1

Answer:

±4

Do correction like

Pls tell the answer of this really needed :

If x=7-4√3 then find the value of √x+1/√x

Step-by-step explanation:

Let y=√x+1/√x

squaring

y^2=(√x)²+(1/√x)²+2*√x*1/√x

y^2=x+1/x+2------------(1)

Now

1/x=1/(7-4√3)*(7+4√3)/(7+4√3)

=(7+4√3)/(7²-16*3)

=(7+4√3)/(49-48=7+4√3

1/x=7+4√3------------------(2)

Hence putting values in (1) we get

y^2=7-4√3+7+4√3+2

=14+2

y^2=16

y=±4

hence

√x+1/√x=±4