Simplify square root of x^11

Problem

√(,x11)

Solution

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

√(,x10⋅x1)

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

√(,x10)⋅√(,x)

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

x5⋅√(,x)

Final Answer

√(,x11)=x5√(,x)

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