Simplify √48 / √3

Step by step

The question

Question: simplify √48 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.

48 divided by 3 is 16.

So we get √16.

2 Simplify the root

16 is a square number: 4 times 4 is 16.

So √16 is 4.

So we get 4.

So the answer is 4.

Careful!

48 divided by 3 is 16.

But the answer is the ROOT of 16.

Don't drop the root.

3 Check

Let's check with a calculator.

The start is about 4.00.

The answer is about 4.00 too.

So it is right!

Let's look back.

First: one root.

Then: simplify the root.

Last: check.