Question

how to take out root over of Any number

Answer 1

if it's fraction then take conjugate
if it is a algebraic then divide multiply by the same

Answer 2

Hey ! this is a quite good question and I've been finding an answer to this and maybe there are many conventional methods to find out the exact root of a non-perfect square number.
Well I won't go into that.
I'm gonna give you a simple formula here that will give you nearly approx value of the root nearly to 2 decimal places.
Ok so the formula goes like,

√z = √x+y = √x + y/2√x
or
√z = √x-y = √x - y/2√x

Ok so here suppose I have a number 13.
obviously not a perfect square.

So the key is to break this number into two other numbers x and y such that x is a prefect square.

For example
I take 13.
I'm gonna break 13 into 9 as x and 4 as y.

So , according to the formula,

√13 = √9+4 = √9 + 4/2*√9
= 3+4/6 = 3.67

So approximately √13 = 3.67.

Cool trick isn't it? I figured out the formula once when I was just sitting in a corner of my room bored with all the numbers to find the square root of and indeed they weren't perfect squares.

So yeah hope this helps you !!