Answer:
28
Step-by-step explanation:
The expression given is |m² - 7| + n². To find the value of this expression when m = -2 and n = 5, we substitute these values into the expression and calculate it step-by-step.
We have:
⇒ |m² - 7| + n²
Plug in m = -2 and n = 5:
⇒ |(-2)² - 7| + (5)²
(-2)² = (-2)(-2) = 4 and (5)² = (5)(5) = 25
⇒ |4 - 7| + 25
Subtract 7 from 4 in the absolute value brackets:
⇒ |-3| + 25
Negative values in an absolute value become positive (|-a| = a):
⇒ 3 + 25
∴ = 28
Thus, the value of the expression is 28.
