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Calculate √16 + √49

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

Step by step

The question

Question: work out √16 + √49.

√16 + √49

1 Square roots

Square roots come before plus.

Order: ( ) → x² √ → × ÷ → + −

√16 asks: which positive number times itself makes 16?

4 times 4 is 16.

4 × 4 = 16

So √16 is 4.

= 4 + √49

Square roots come before plus.

√49 asks: which positive number times itself makes 49?

7 times 7 is 49.

7 × 7 = 49

So √49 is 7.

= 4 + 7

2 Plus and minus

4 plus 7 is 11.

= 11

So the answer is 11.

Let's look back.

First: square roots.

Last: plus and minus.

Answer
= 11

Your turn

Try this one yourself, then check:

Work out √25 + √100
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15

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