Question

simplify: [1/(2+√5)]+[1/√5+√6)]+......[1/(√8+√9)]
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Answer 1

Answer:

2(√2-1)

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

Answer 2

Step-by-step explanation:

hope it helps..........