Simplify √72 / √2

Step by step

The question

Question: simplify √72 over √2.

1 One root

Rule: a root over a root is the root of the fraction.

So we write one root over the fraction.

72 divided by 2 is 36.

So we get √36.

2 Simplify the root

36 is a square number: 6 times 6 is 36.

So √36 is 6.

So we get 6.

So the answer is 6.

Careful!

72 divided by 2 is 36.

But the answer is the ROOT of 36.

Don't drop the root.

3 Check

Let's check with a calculator.

The start is about 6.00.

The answer is about 6.00 too.

So it is right!

Let's look back.

First: one root.

Then: simplify the root.

Last: check.