Type the correct answer in the box. Use numerals instead of words.

Consider this expression:
[tex]\left|m^2 + n^2\right|[/tex]

When [tex]m = -5[/tex] and [tex]n = 3[/tex], the value of the expression is [tex]\square[/tex].



Answer :

To find the value of the expression [tex]\(\left|m^2 + n^2\right|\)[/tex] when [tex]\(m = -5\)[/tex] and [tex]\(n = 3\)[/tex], follow these steps:

1. Square the value of [tex]\(m\)[/tex]:
[tex]\[ (-5)^2 = 25 \][/tex]

2. Square the value of [tex]\(n\)[/tex]:
[tex]\[ 3^2 = 9 \][/tex]

3. Add the squared values:
[tex]\[ 25 + 9 = 34 \][/tex]

4. Take the absolute value of the result (though it’s already positive):
[tex]\[ \left|34\right| = 34 \][/tex]

Thus, the value of the expression [tex]\(\left|m^2 + n^2\right|\)[/tex] when [tex]\(m = -5\)[/tex] and [tex]\(n = 3\)[/tex] is [tex]\(34\)[/tex].

So, the value to be placed in the box is [tex]\(34\)[/tex].