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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 _____.

Sagot :

GinnyAnswer
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]:

1. Square [tex]\(m\)[/tex]: [tex]\(m^2 = (-5)^2 = 25\)[/tex].
2. Square [tex]\(n\)[/tex]: [tex]\(n^2 = 3^2 = 9\)[/tex].
3. Add the squared values: [tex]\(25 + 9 = 34\)[/tex].
4. Take the absolute value of the result: [tex]\(\left|34\right| = 34\)[/tex].

Therefore, 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].
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