Evaluate square root of (-4-3)^2+(-3-42)

Problem

√(,(−4−3)2+(−3−42))

Solution

1. Simplify the expressions inside the parentheses.

(−4−3)=−7

(−3−42)=−45

2. Substitute these values back into the original expression.

√(,(−7)2+(−45))

3. Square the first term.

(−7)2=49

4. Combine the terms inside the square root.

49−45=4

5. Evaluate the square root.

√(,4)=2

Final Answer

√(,(−4−3)2+(−3−42))=2

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