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Calculate √(16 + 9)

Step by step, with the reason for every step · Powers, square roots, absolute value · Foundations

Step by step

The question

Question: work out √(16 + 9).

√16 + 9

1 Under the root sign

Order: ( ) → x² √ → × ÷ → + −

16 plus 9 is 25.

= √25

2 Square roots

√25 asks: which positive number times itself makes 25?

5 times 5 is 25.

5 × 5 = 25

So √25 is 5.

= 5

So the answer is 5.

Let's look back.

First: under the root sign.

Last: square roots.

Answer
= 5

Your turn

Try this one yourself, then check:

Work out √20 + 5
Show the answer
5

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