Question

What is value of given sum??? ​

Answer 1

Answer:

option D is the correct answer

step by step explaination:

consider ,

=1/(√7 +√6)

=[ 1/(√7 -√6) ]×[(√7+√6)/(√7+√6)]

using formula a^2-b^2=(a-b)(a+b)

=(√7+√6)/(7-6)

=(√7+√6)

now consider ,

=1/(√6-√5)

=[1/(√6-√5)]×[(√6+√5)/(√6+√5)]

=(√6+√5)/(6-5)

=(√6+√5)

now consider,

=1/(√(5)-2)

=1/(√5-√4)

=[1/(√5-√4)]×[(√5+√4)/(√5+√4)]

=(√5+√4)/(5-4)

=(√5+√4)

now consider,

=1/(√8-√7)

=[1/(√8-√7)]×[(√8+√7)×(√8+√7)]

=(√8+√7)/(8-7)

=(√8+√7)

now consider ,

=1/(3-√8)

=1/(√9-√8)

=[1/(√9-√8)]×[(√9+√8)/(√9+√8)]

=(√9+√8)/(9-8)

=(√9+√8)

substitute all this values in given equation

then

= (√7+√6)-(√6+√5)+(√5+√4)-(√8+√7)+

(√9+√8)

=√7+√6-√6-√5+√5+√4-√8-√7+√9+√8

=(√7-√7)+(√6-√6)+(√5-√5)+(√8-√8)

(√4+√9)

=o+0+0+0+(2+3)

=5