Not a few roots

Algebra Level 1

Find the value of … 2 \dots \sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{2}}}}}}} .

Clarification: dots represent continuation of square roots an infinite number of times.


The answer is 1.

Shuvodip Das by Shuvodip Das , 17, Bangladesh

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

X X
Jun 4, 2018

2 1 ∞ = 2 0 = 1 2^{\frac1{\infty}}=2^0=1

5 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...