Answer:
The square root is 1.90
Step-by-step explanation:
Given
[tex]x = \sqrt{3.6}[/tex]
Required
Find x
Express 3.6 as 36/10
So, we have:
[tex]x = \frac{\sqrt{36}}{\sqrt{10}}[/tex]
This gives
[tex]x = \frac{6}{\sqrt{10}}[/tex]
Rationalize
[tex]x = \frac{6}{\sqrt{10}}*\frac{\sqrt{10}}{\sqrt{10}}[/tex]
[tex]x = \frac{6\sqrt{10}}{10}[/tex]
Using a calculator
[tex]\sqrt{10} \approx 3.16[/tex]
So, we have:
[tex]x = \frac{6*3.16}{10}[/tex]
[tex]x = \frac{18.96}{10}[/tex]
[tex]x = 1.896[/tex]
Approximate
[tex]x = 1.90[/tex]
