Evaluate square root of 88

Problem

√(,88)

Solution

1. Identify the radicand and look for perfect square factors.

2. Factor the number 88 into its prime factors or find the largest perfect square that divides it.

88=4×22

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

√(,88)=√(,4×22)

√(,88)=√(,4)×√(,22)

4. Simplify the square root of the perfect square factor.

√(,4)=2

5. Combine the results to write the expression in simplest radical form.

√(,88)=2√(,22)

Final Answer

√(,88)=2√(,22)

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