Question

if x=2+√5 find the value of x-1/x

Answer 1

Answer:

hello friend here ur answer

Answer 2

Answer:

Step-by-step explanation:

x=2+√5

x-1/x  = 2+√5 - 1/2+√5

= (2+√5)² - 1 / (2+√5)

=4+5+4√5-1 / (2+√5)

=(8+4√5) / (2 + √5)

= 4(2 + √5) / (2 + √5)

= 4

Or Rationalize the denominator

= (8+4√5)(2-√5) / (2 + √5)(2-√5)

= 16-20 / (4-5)

= -4 / -1

= 4