Simplify √60 / √5

Step by step

The question

Question: simplify √60 over √5.

1 One root

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

So we write one root over the fraction.

60 divided by 5 is 12.

So we get √12.

2 Simplify the root

Now we make √12 simpler, like in the lesson on square roots.

The biggest square that goes into 12 is 4: 12 divided by 4 is 3.

So √12 is √4 times √3.

√4 is 2, because 2 times 2 is 4.

So we get 2√3.

So the answer is 2√3.

Careful!

60 divided by 5 is 12.

But the answer is the ROOT of 12.

Don't drop the root.

3 Check

Let's check with a calculator.

The start is about 3.46.

The answer is about 3.46 too.

So it is right!

Let's look back.

First: one root.

Then: simplify the root.

Last: check.