Rationalization Method to Remove Indeterminate Form
What is the v...
Question
What is the value of 11+√2+1√2+√3+1√3+√4..... upto 15 terms?
A
1
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B
2
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C
3
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D
4
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Solution
The correct option is B3 By rationalising each term, 11+√2=1√2+1×√2−1√2−1=√2−12−1=√2−1 1√2+√3=1√3+√2×√3−√2√3−√2=√3−√23−2 =√3−√2 ............................ 1√15+4=14+√15×4−√154−√15=4−√1516−15 =4−√15 ∴ Given expression =(√2−1)+(√3−√2)+.....+4−√15 =4−1=3.