Simplify square root of x^12
Problem
Solution
Identify the index of the radical and the exponent of the radicand. The square root has an index of
2 Apply the rule for simplifying radicals with exponents, which states
√(n,am)=am/n Divide the exponent of the radicand by the index of the radical.
Simplify the expression by writing the base with the new exponent. Since
12 is an even exponent and the result6 is also even, the result is non-negative for all realx
Final Answer
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