Question

Find the square root of 3.6 upto 2 decimal places. *With Solution I need*

Answer 1

The square root is 1.90

Explanation:

Given

`x = √(3.6)`

Required

Find x

Express 3.6 as 36/10

So, we have:

`x = (√(36))/(√(10))`

This gives

`x = (6)/(√(10))`

Rationalize

`x = (6)/(√(10))*(√(10))/(√(10))`

`x = (6√(10))/(10)`

Using a calculator

`√(10) \approx 3.16`

So, we have:

`x = (6*3.16)/(10)`

`x = (18.96)/(10)`

`x = 1.896`

Approximate

`x = 1.90`