Simplify square root of y^17

Problem

√(,y17)

Solution

1. Rewrite the radicand using the property of exponents to separate the largest even power of y

√(,y16⋅y)

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

√(,y16)⋅√(,y)

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

(y16)1/2⋅√(,y)

4. Evaluate the exponent to find the final simplified form.

y8√(,y)

Final Answer

√(,y17)=y8√(,y)

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