Simplify square root of 98

Problem

√(,98)

Solution

1. Identify the largest perfect square factor of the radicand 98

2. Factor the number 98 into the product of a perfect square and another integer.

98=49⋅2

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

√(,49⋅2)=√(,49)⋅√(,2)

4. Simplify the square root of the perfect square 49

√(,49)=7

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

7⋅√(,2)=7√(,2)

Final Answer

√(,98)=7√(,2)

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