This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here's an example showing how squaring a square root cancels each other out: Let's consider the expression (sqrt(x))^2. Step 1: Recall the definition of a square root. The square root of a number x can be written as x raised to the power of (1)/(2). This is valid for x 0. sqrt(x) = x^(1)/(2) Step 2: Substitute this definition into the expression. (sqrt(x))^2 = (x^(1)/(2))^2 Step 3: Apply the exponent rule (a^m)^n = a^m · n. Here, a=x, m=(1)/(2), and n=2. (x^(1)/(2))^2 = x^(1)/(2) × 2 Step 4: Multiply the exponents. x^(1)/(2) × 2 = x^1 Step 5: Simplify the expression. x^1 = x So, the working shows: (sqrt(x))^2 = x This property holds true for any non-negative number x. What's next?