Simplify square root of x^15

Problem

√(,x15)

Solution

1. Rewrite the radicand using a power that is a multiple of the index. Since the square root has an index of 2 we can split x15 into x14⋅x1

2. Apply the product property of radicals, which states √(,a⋅b)=√(,a)⋅√(,b)

3. Simplify the perfect square term by dividing the exponent by the index.

4. Combine the terms into the final simplified form.

Final Answer

√(,x15)=x7√(,x)

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