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
Taiyba, long division is a method used for dividing one number by another. It is not applicable for simplifying square roots or multiplying a number by a square root like 3sqrt(63). To solve 3sqrt(63), we will simplify the square root first. Step 1: Simplify the square root by finding perfect square factors of 63. We look for factors of 63 that are perfect squares. 63 = 9 × 7 Since 9 is a perfect square (3^2), we can rewrite sqrt(63) as: sqrt(63) = sqrt(9 × 7) sqrt(63) = sqrt(9) × sqrt(7) sqrt(63) = 3sqrt(7) Step 2: Substitute the simplified square root back into the original expression. Now, substitute 3sqrt(7) for sqrt(63) in the original expression 3sqrt(63): 3 × (3sqrt(7)) 3 × 3 × sqrt(7) 9sqrt(7) Step 3: Calculate the approximate value (optional, but useful for a numerical answer). If a numerical answer is required, we can approximate sqrt(7): sqrt(7) ≈ 2.64575 Then multiply by 9: 9 × 2.64575 ≈ 23.81175 The simplified exact form is 9sqrt(7). The approximate value is 23.81175. 9sqrt(7) ≈ 23.81175 3 done, 2 left today. You're making progress.