Simplify square root of x^18

Problem

√(,x18)

Solution

1. Identify the index of the radical and the exponent of the radicand. The square root has an index of 2 and the exponent of x is 18

2. Apply the rule for simplifying radicals with exponents, which states that √(n,am)=a(m/n)

3. Divide the exponent by the index to find the new exponent: 18 / 2 = 9$.

4. Simplify the expression by removing the radical sign and using the calculated exponent.

Final Answer

√(,x18)=x9

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