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
Step 1: Simplify the term (3)/(sqrt(3)). To rationalize the denominator, multiply the numerator and denominator by sqrt(3). (3)/(sqrt(3)) = 3 × sqrt(3)sqrt(3) × sqrt(3) = 3sqrt(3)3 = sqrt(3) Step 2: Substitute the simplified term back into the original expression. The expression becomes: sqrt(3) ( sqrt(3) - 2sqrt(3)3 ) Step 3: Distribute sqrt(3) into the terms inside the parenthesis. ( sqrt(3) × sqrt(3) ) - ( sqrt(3) × 2sqrt(3)3 ) Step 4: Calculate each term. For the first term: sqrt(3) × sqrt(3) = 3 For the second term: sqrt(3) × 2sqrt(3)3 = 2 × (sqrt(3) × sqrt(3))3 = (2 × 3)/(3) = (6)/(3) = 2 Step 5: Subtract the second term from the first term. 3 - 2 = 1 The final answer is 1.