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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]\(\quad\)[/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 each value:
- [tex]\(m = -5\)[/tex]
[tex]\[ m^2 = (-5)^2 = 25 \][/tex]
- [tex]\(n = 3\)[/tex]
[tex]\[ n^2 = 3^2 = 9 \][/tex]

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

3. Take the absolute value of the sum:
[tex]\[ \left| m^2 + n^2 \right| = \left| 34 \right| = 34 \][/tex]

Therefore, the value of the expression [tex]\(\left|m^2 + n^2\right|\)[/tex] is [tex]\(34\)[/tex].
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