Evaluate square root of 7 square root of 28

Problem

√(,7)√(,28)

Solution

1. Combine the radicals using the product property of square roots, √(,a)√(,b)=√(,a*b)

√(,7⋅28)

2. Factor the number 28 into its prime factors to make simplification easier.

√(,7⋅(7⋅4))

3. Group the factors to identify perfect squares within the radicand.

√(,7⋅2)

4. Simplify the square root by taking the square root of each perfect square factor.

7⋅2

5. Multiply the resulting integers to find the final value.

14

Final Answer

√(,7)√(,28)=14

Want more problems? Check here!