1/2+√5+1/√5+√6+1/√6+√7+1/√7+√8.please help
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1/2+√5= √5-2/5-4=√5-√4. (rationalizing num. and denim. by √5-√4.)
note : 2 is written as √4
similarly,
1/√5+√6= √6-√5
1/√6+√7=√7-√6
1/√7+√8=√8-√7
putting alll in equation and solving we get
√8-√7+√7-√6+√6-√5+√5-√4=√8-2 =2(√2-1)
note : 2 is written as √4
similarly,
1/√5+√6= √6-√5
1/√6+√7=√7-√6
1/√7+√8=√8-√7
putting alll in equation and solving we get
√8-√7+√7-√6+√6-√5+√5-√4=√8-2 =2(√2-1)
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