Prove that 1/1+√2+1/√2+√3+1/√3+√4+1/√4+√5+1/√5+√6+1/√6+√7+1/√7+√8+1/√8+√9 =2
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Answer:
Hey mate! refer to the explanation given in the pic:
Hope it helps!
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Rationalization
Definition:
Rationalization is a procedure used in elementary mathematics to remove the irrational number from the denominator.
Explanation:
On rationalizing the first term.
Similarly, do for the second term
Therefore, the left hand side equates with right hand side, so the equation satisfies.
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