Simplify √27 / √3

Step by step

The question

Question: simplify √27 over √3.

1 One root

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

So we write one root over the fraction.

27 divided by 3 is 9.

So we get √9.

2 Simplify the root

9 is a square number: 3 times 3 is 9.

So √9 is 3.

So we get 3.

So the answer is 3.

Careful!

27 divided by 3 is 9.

But the answer is the ROOT of 9.

Don't drop the root.

3 Check

Let's check with a calculator.

The start is about 3.00.

The answer is about 3.00 too.

So it is right!

Let's look back.

First: one root.

Then: simplify the root.

Last: check.