Calculate the square root of 320

Problem

√(,320)

Solution

1. Identify the number under the radical and look for its largest perfect square factor.

2. Factor the number 320 into a product of a perfect square and another integer.

320=64⋅5

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

√(,320)=√(,64⋅5)

√(,320)=√(,64)⋅√(,5)

4. Simplify the square root of the perfect square.

√(,64)=8

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

√(,320)=8√(,5)

Final Answer

√(,320)=8√(,5)

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