Evaluate square root of 160

Problem

√(,160)

Solution

1. Identify the number inside the radical and look for its prime factorization.

160=16×10

2. Rewrite the expression by separating the perfect square factor from the remaining factor.

√(,160)=√(,16×10)

3. Apply the product property of radicals, which states that √(,a×b)=√(,a)×√(,b)

√(,160)=√(,16)×√(,10)

4. Simplify the square root of the perfect square.

√(,16)=4

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

√(,160)=4√(,10)

Final Answer

√(,160)=4√(,10)

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