Simplify 6√20 / 3√5

Step by step

The question

Question: simplify 6√20/3√5.

1 One root

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

The numbers outside make their own fraction.

The roots go under one root.

20 divided by 5 is 4.

6/3 is 2.

So we get 2√4.

2 Simplify the root

4 is a square number: 2 times 2 is 4.

So √4 is 2.

2 times 2 is 4.

So the answer is 4.

Careful!

20 divided by 5 is 4.

But the answer is the ROOT of 4.

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.