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The value of √6+ √6 + √6.........
(A) 3.5
(B) 4
(C) 3
(D) - 3
Answers
Answer:
the answer is option a 3.5
Step-by-step explanation:
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If x=√6+√6+√6+∞, what is the value of x?
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In these type of questions,the answer is Square root of the next perfect square.
In this case the next perfect square is 9 and it's square root is 3, hence answer is 3.
Logical Reason behind this short trick-
Value of √6 is 2.449…. Now this be added to 6 and the new term will be √8.449.. Which is equal to 2.90..
Again add to 6, new term will be √8.90.. , which is equal to 2.98 and again add 6 to it and take square root
At one point you will get the term as√9 and it's value be will be 3 and now if you add 6 it'll again be √9 which will be equal to 3
And hence the final answer will be 3