Simplify the radical expression. 14x14 Write your answer in the form A, B, or AB, where A and B are constants or expressions in x. Use at most one radical in your answer, and at most one absolute value symbol in your expression for A. ______
Q. Simplify the radical expression. 14x14 Write your answer in the form A, B, or AB, where A and B are constants or expressions in x. Use at most one radical in your answer, and at most one absolute value symbol in your expression for A. ______
Identify and Multiply: Identify the expression and use the multiplication property of square roots.14x14=14×x14
Express as Square Term: Recognize that x14 can be expressed as a square term.x14=(x7)2
Simplify Square Root: Simplify the square root of the square term.(x7)2=(x7)22=x7However, since we are taking the square root of a variable to an even power, we must consider the absolute value to ensure the result is non-negative.(x7)2=∣x7∣
Consider Absolute Value: Combine the simplified terms to get the final expression.14x14=14⋅∣x7∣So, the simplified radical expression is ∣x7∣14.
More problems from Simplify radical expressions with variables I