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Solution:
Find the LCM for the denominators and simplify the above set of expression
After taking lcm we get the expression as
=(√5-2)+ (√6-√5)+ (√7-√6)+ (√8-√7)
Multiply the + into the brackets for further simplification
=√5-2+ √6-√5+ √7-√6 + √8-√7
= √8-2
=2√2-2 [where 8 can be written as 2√2]
Taking the common terms
=2(√2-1)
Hence simplified
Simplification a process or procedure for the reducing the expanded expression or equation into simpler set of numbers
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