Irrational number
STEP - BY - STEP EXPLANATION
What to do?
Classify whether it is rational or irrational number.
Given:
3 root 6 ÷ 2 root 3
To solve the above, we will follow the steps below:
Step 1
Re-write in the fraction form.
[tex]\frac{3\sqrt{6}}{2\sqrt{3}}[/tex]Step 2
Break down the square root and simplify.
[tex]\frac{3\sqrt{2}\times\sqrt{3}}{2\sqrt{3}}[/tex][tex]=\frac{3\sqrt{2}}{2}[/tex]Step 3
Determine whether it is a rational or irrational number.
Since, we are still having √2 which can not be reduced. Then it is an irrational number.
