Question

find the value ( in the image the value of _____________is equal to

Answer 1

Hi ,

1 ) 1/(√2+1 )

= (√2-1)/[(√2+1)(√2-1)]

= (√2-1)/[(√2)²-1²]

= √2 - 1
Similarly ,

We get all the values ,

Now ,

1/( √2+1 ) + 1/(√2+√3)+....+1/(√8+√9)

= √2-1+√3-√2+√4-√3+..+√9-√8

= -1 + √9

= -1 + 3

= 2

Option ( C ) is correct.

I hope this helps you.

: )