Simplify square root of x^5

Problem

√(,x5)

Solution

1. Rewrite the radicand using the properties of exponents to isolate a perfect square.

√(,x4⋅x)

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

√(,x4)⋅√(,x)

3. Simplify the square root of the perfect square by dividing the exponent by 2.

x2√(,x)

Final Answer

√(,x5)=x2√(,x)

Want more problems? Check here!