What is value of given sum???
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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
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