Calculate √(100 - 36) ÷ 2^2

Step by step

The question

Question: work out √(100 − 36) ÷ 2².

1 Under the root sign

What is under the root sign comes first.

We write them in a column: ones under ones, tens under tens.

We take away each column, from the right.

When the top digit is too small, we borrow 10 from the next column.

100 minus 36 is 64.

2 Square roots

Square roots come before divide.

√64 asks: which positive number times itself makes 64?

8 times 8 is 64.

So √64 is 8.

3 Powers

Powers come before divide.

2² means 2 times 2.

That is 4.

4 Times and divide

8 divided by 4 is 2.

So the answer is 2.

Let's look back.

First: under the root sign.

Then: square roots.

Then: powers.

Last: times and divide.