# Question #47095

##### 2 Answers

Sorry for the inconvenience

(this answer is based on a mathematical trick and not explanation )

#### Explanation:

The trick for this:

If you see a question lie adding the roots of roots of a same number to infinite times,Take out the number in it (in this case is

And make the number in the form

If we solve for it, we get

So,

Some examples

#### Explanation:

This is an amazing concept which is quite simple and easy

So look carefully

Lets say

Now square both sides

Now if you notice the part under our radical is the same as under our first equation;

Lets plug the x where it belong in the second equation

Right now i think we are getting somewhere

Factor this

Lets remind ourselves

Clearly this is positive

So

Hence