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Evaluate m^2 + n^2 when m = 3, n = 4

Step by step, with the reason for every step · Evaluate expressions · Algebra 1

Step by step

The question

Question: find the value of m² + n² when m = 3 and n = 4.

m2 + n2
m = 3, n = 4

1 Put the numbers in

We put 3 in place of m and 4 in place of n.

= 32 + 42

2 Powers

Powers come before plus.

Order: ( ) → x² √ → × ÷ → + −

3² means 3 times 3.

32 = 3 × 3 = 9

That is 9.

= 9 + 42

Powers come before plus.

4² means 4 times 4.

42 = 4 × 4 = 16

That is 16.

= 9 + 16

3 Plus and minus

9 plus 16 is 25.

= 25

So m² + n² is 25 when m = 3 and n = 4.

Let's look back.

First: put the numbers in.

Then: powers.

Last: plus and minus.

Answer
= 25

Your turn

Try this one yourself, then check:

Find the value of m2 + n2
Show the answer
41

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