Question

3² +4² + 12² is equal to n² for some positive number n . Find n.​

Answer 1

n = 13

Explanation:

For this, you need to square all of the numbers and then add them together. Most of the time, you can put them into a calculator but I will work it out below.

Squaring means multiplying a number by itself, so we get:

3² + 4² +12² =n²

Turns into:

(3*3) + (4*4) +(12*12) = n²

Then work out the multiplication:

9 + 16 + 144 = n²

Add everything together

169 = n²

Now take the square root of each side:

`√(169) =\sqrt{n^(2)}`

This comes out to be:

± 13 = n

The question asks for the positive number, so you answer is:

n = 13