Evaluate square root of 700

Problem

√(,700)

Solution

1. Identify the radicand and look for the largest perfect square factor.

2. Factor the number 700 into a product of a perfect square and another integer.

700=100⋅7

3. Apply the product property of square roots, which states √(,a⋅b)=√(,a)⋅√(,b)

√(,700)=√(,100⋅7)

√(,700)=√(,100)⋅√(,7)

4. Simplify the square root of the perfect square 100

√(,100)=10

.
5. Combine the results to find the simplified radical form.

√(,700)=10√(,7)

Final Answer

√(,700)=10√(,7)

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