Question

Simplify 1/2+√5 +1/√6+√5+ 1/√6+√7 + 1/√8+√7

Answer 1

Answer:

• Answer:
• \frac{1}{\sqrt{5}+2}+\frac{1}{\sqrt{6}+\sqrt{5}}+\frac{1}{\sqrt{7}+\sqrt{6}}+\frac{1}{\sqrt{8}+\sqrt{7}}
• 5
• +2
• 1
• +
• 6
• +
• 5
• 1
• +
• 7
• +
• 6
• 1
• +
• 8
• +
• 7
• 1
• = 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

Answer:

ur answer is in the image

hope that helps u

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