# Behaviour of square roots and Algebraic terms Today I have got to share a very interesting topic i.e. Square Root in which most of the students or the beginners found difficulties and bit confusion also,

so I’ve thought to explain this

## Behaviour of square roots algebraic Terms

But later on I’ve extended this topic towards algebraic terms also, now our topic of discussion today is

### How Square Roots behaves:-

so, firstly I want to figure out where the learners found difficulties or what are the key areas where we should keep a keen eye for right solutions.
If I talk about square roots then their behaviour as similar as algebraic Terms behaves i.e.

for same variable:-

x + x = 2x            √2 + √2 = 2√2

x – x  = 0              √2 – √2 = 0

x × x = x²            ( √2 )² = 2

x ÷ x = 1              √2 ÷ √2 = 1

for different variable:-

x+ y = x + y          √2 + √3 = √2 + √3

x – y = x – y           √2 – √3  = √2 – √3

[can be solved further by evaluating square roots]

x × y = xy              √2 × √3 = √ 2×3 = √6

x ÷ y = x/y            √2÷ √3  = √2 / √3

So, I hope you all have cleared your doubted regarding solutions of Square Root.

#### Q.  but what if square roots and cube roots given

Ans. they will remain unsolved

√2 + ³√2

but to some extent this can be solved like

√2 × ³√2  = (2) raise to the power 5/6

but it will have no impact in subject to solution.
for exponents solutions refer to our post  exponents and their rules