Evaluate square root of (-7)^2+(5)^2

Problem

√(,(−7)2+(5)2)

Solution

1. Evaluate the exponents inside the square root by squaring both −7 and 5

(−7)2=49

(5)2=25

2. Add the results together to find the sum under the radical.

49+25=74

3. Simplify the radical if possible. Since 74=2×37 and both factors are prime, the square root cannot be simplified further into integer or radical components.

Final Answer

√(,(−7)2+(5)2)=√(,74)

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