Question

If x = 9 + 4√5, find the value of √x – 1/√​

Answer 1

Answer:

Answer

Given,

x=9+4

5

=>

x

1

=

9+4

5

1

×

9−4

5

9−4

5

=>

x

1

=9−4

5

Let y=

x

−

x

1

Squaring both sides,

y

2

=x+

x

1

−2

=>y

2

=9+4

5

+9−4

5

−2

y=+4,−4