Evaluate (-3 square root of 3^2+16)/2

Problem

(−3√(,3^2+16))/2

Solution

1. Evaluate the power inside the square root by calculating 3^2

3^2=9

2. Add the terms inside the square root.

9+16=25

3. Calculate the square root of the resulting sum.

√(,25)=5

4. Multiply the result by the coefficient −3

−3⋅5=−15

5. Divide the product by the denominator 2 to find the final value.

−15/2=−7.5

Final Answer

(−3√(,3^2+16))/2=−7.5

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