Evaluate v((-6-(-8))^2+(8-6)^2)

Problem

√(,(−6−(−8))2+(8−6)2)

Solution

1. Simplify the expressions inside the parentheses by performing the subtractions.

(−6−(−8))=−6+8=2

(8−6)=2

2. Substitute these values back into the original expression.

√(,(2)2+(2)2)

3. Square the numbers inside the radical.

2=4

4. Add the squared values together.

4+4=8

5. Simplify the square root by factoring out the largest perfect square.

√(,8)=√(,4⋅2)=2√(,2)

Final Answer

√(,(−6−(−8))2+(8−6)2)=2√(,2)

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