Question

Classify the below expression as rational or irrational:3 root 6 ÷ 2 root 3

Answer 1

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.

`(3√(6))/(2√(3))`

Step 2

Break down the square root and simplify.

`(3√(2)*√(3))/(2√(3))`
`=(3√(2))/(2)`

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.