Find the value of √[6+√(6+ √6+....)]
Answers
Answer:
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.
You can solve it mathematically but it'll cost you time, in competitive exams time is crucial and you won't be willing to spend few minutes in such a question which can be solved in 5–10 seconds.
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
Answer:
May it helps you
Have a nice day
