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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 [tex]\(\boxed{\square}\)[/tex]

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], follow these steps:

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

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

3. Add the squared values:
[tex]\[ m^2 + n^2 = 25 + 9 = 34 \][/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].

So, [tex]\(\boxed{34}\)[/tex]
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