Question

WHAT IS THE ANSWER OF THIS?
X=√3√3√3√3√...

Answer 1

X=3

Answer 2

how many \[\sqrt{3}\] are there?

Answer 3

do you mean this:\[x=\sqrt{3+\sqrt{3+\sqrt{3+\sqrt{3+...}}}}\]
I have seen a similar problem described as this:\[x=\sqrt{6+\sqrt{6+\sqrt{6+\sqrt{6+...}}}}\]
both can be solved but you need to "see" how to do it.
see if you can spot out how to solve this otherwise I can give you a hint.

Answer 4

consider the equation as \[x=\sqrt{x+3}\]
and squaring on both sides we get \[x ^{2}-x-3=0\]
by solving this equation, you get the desired result..

Answer 5

You should use the formula for quadratic equations after that.