What is the square root of 6 the Square root of 6 to infinity?

Answer 1

The square root of 6 is an irrational number, approximately equal to 2.44948974278. When you take the square root of 6 and continue to do so to infinity, the number will not converge to a specific value but will approach the square root of 6. This means that as you take the square root of the result repeatedly, the number will get closer and closer to approximately 2.44948974278 but will never exactly reach it.

Answer 2

take x = root 6+ root 6.............upto infinity

x = root 6 + x ........ie take root six once and keep the n number of root 6 as x

square on both sides

x2 = 6 + x

x2 - x- 6 = 0 solve this quadratic equations.

you will get x= 3 or -2

but x is not -2 as it will not satisfy

so x = 3

thus the value

root 6 plus root 6 till infinity = 3