Simplify square root of x^17

Problem

√(,x17)

Solution

1. Rewrite the exponent as a product of an even number and one to separate the perfect square part.

√(,x16⋅x1)

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

√(,x16)⋅√(,x)

3. Simplify the square root of the even power by dividing the exponent by 2.

x8√(,x)

Final Answer

√(,x17)=x8√(,x)

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