Simplify √50 / √2

Step by step

The question

Question: simplify √50 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.

50 divided by 2 is 25.

So we get √25.

2 Simplify the root

25 is a square number: 5 times 5 is 25.

So √25 is 5.

So we get 5.

So the answer is 5.

Careful!

50 divided by 2 is 25.

But the answer is the ROOT of 25.

Don't drop the root.

3 Check

Let's check with a calculator.

The start is about 5.00.

The answer is about 5.00 too.

So it is right!

Let's look back.

First: one root.

Then: simplify the root.

Last: check.