Evaluate

Problem

(5√(,2))*(7√(,200))

Solution

1. Group the coefficients and the radicals using the associative and commutative properties of multiplication.

(5⋅7)*(√(,2)⋅√(,200))

2. Multiply the coefficients together.

5⋅7=35

3. Multiply the radicands under a single square root symbol using the product property of radicals.

√(,2)⋅√(,200)=√(,2⋅200)

√(,400)

4. Evaluate the square root of the resulting product.

√(,400)=20

5. Multiply the results from the previous steps to find the final value.

35⋅20=700

Final Answer

(5√(,2))*(7√(,200))=700

Want more problems? Check here!