Question

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

Answer 1

Answer:

The square root is 1.90

Step-by-step explanation:

Given

$x = \sqrt{3.6}$

Required

Find x

Express 3.6 as 36/10

So, we have:

$x = \frac{\sqrt{36}}{\sqrt{10}}$

This gives

$x = \frac{6}{\sqrt{10}}$

Rationalize

$x = \frac{6}{\sqrt{10}}*\frac{\sqrt{10}}{\sqrt{10}}$

$x = \frac{6\sqrt{10}}{10}$

Using a calculator

$\sqrt{10} \approx 3.16$

So, we have:

$x = \frac{6*3.16}{10}$

$x = \frac{18.96}{10}$

$x = 1.896$

Approximate

$x = 1.90$