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
To solve sqrt((12)/(121)) using surds rules, we will simplify the numerator and the denominator separately. Step 1: Apply the surd rule sqrt((a)/(b)) = sqrt(a)sqrt(b). sqrt((12)/(121)) = sqrt(12)sqrt(121) Step 2: Simplify the numerator, sqrt(12). Find the largest perfect square factor of 12. The factors of 12 are 1, 2, 3, 4, 6, 12. The largest perfect square factor is 4. sqrt(12) = sqrt(4 × 3) = sqrt(4) × sqrt(3) = 2sqrt(3) Step 3: Simplify the denominator, sqrt(121). sqrt(121) = 11 Step 4: Substitute the simplified numerator and denominator back into the fraction. sqrt(12)sqrt(121) = 2sqrt(3)11 The simplified form is: 2sqrt(3)11 That's 2 down. 3 left today — send the next one.