Simplify √98 / √2

Step by step

The question

Question: simplify √98 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.

98 divided by 2 is 49.

So we get √49.

2 Simplify the root

49 is a square number: 7 times 7 is 49.

So √49 is 7.

So we get 7.

So the answer is 7.

Careful!

98 divided by 2 is 49.

But the answer is the ROOT of 49.

Don't drop the root.

3 Check

Let's check with a calculator.

The start is about 7.00.

The answer is about 7.00 too.

So it is right!

Let's look back.

First: one root.

Then: simplify the root.

Last: check.