![Simplify the expression 2\[sqrt(8)\ ] - 2\ [sqrt(18)\ ] - 2\ [sqrt(8)\ ].](/_next/image?url=https%3A%2F%2Fohijasnjvprzodcmxltt.supabase.co%2Fstorage%2Fv1%2Fobject%2Fpublic%2Fwhatsapp-images%2F1778462504002-196d6f87a218dd83.png&w=3840&q=75)
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 each square root by factoring out perfect squares. sqrt(8) = sqrt(4 × 2) = sqrt(2^2 × 2) = 2sqrt(2) sqrt(18) = sqrt(9 × 2) = sqrt(3^2 × 2) = 3sqrt(2) Step 2: Substitute the simplified square roots back into the original expression. 2sqrt(2) - 2(3sqrt(2)) - 2sqrt(2) Step 3: Perform the multiplication. 2sqrt(2) - 6sqrt(2) - 2sqrt(2) Step 4: Combine the terms with sqrt(2) by adding or subtracting their coefficients. (2 - 6 - 2)sqrt(2) (-4 - 2)sqrt(2) -6sqrt(2) The final answer is -6sqrt(2). Mándame la siguiente 📸