Question

simplify .. 12√18-6√20-3√50+8√45

Answer 1

Hey friend, ☺️ here is your answer ____________________________

$12 \sqrt{18} \: - 6 \sqrt{20} - 3 \sqrt{50} + 8 \sqrt{45} \\ = 12 \sqrt{2 \times 3 \times 3} - 6 \sqrt{2 \times 2 \times 5} - 3 \sqrt{2 \times 5 \times 5} + 8 \sqrt{3 \times 3 \times 5} \\ = 12 \times 3 \sqrt{2} - 6 \times 2 \sqrt{5} - 3 \times 5 \sqrt{2} + 8 \times 3 \sqrt{5} \\ = 36 \sqrt{2} - 12 \sqrt{5} - 15 \sqrt{2} + 24 \sqrt{5} \\ = 36 \sqrt{2} - 15 \sqrt{2} - 12 \sqrt{5} + 24 \sqrt{5} \\ = 21 \sqrt{2} + 12 \sqrt{5}$
Hope this helps you...

Answer 2

Answer:

\begin{gathered}12 \sqrt{18} \: - 6 \sqrt{20} - 3 \sqrt{50} + 8 \sqrt{45} \\ = 12 \sqrt{2 \times 3 \times 3} - 6 \sqrt{2 \times 2 \times 5} - 3 \sqrt{2 \times 5 \times 5} + 8 \sqrt{3 \times 3 \times 5} \\ = 12 \times 3 \sqrt{2} - 6 \times 2 \sqrt{5} - 3 \times 5 \sqrt{2} + 8 \times 3 \sqrt{5} \\ = 36 \sqrt{2} - 12 \sqrt{5} - 15 \sqrt{2} + 24 \sqrt{5} \\ = 36 \sqrt{2} - 15 \sqrt{2} - 12 \sqrt{5} + 24 \sqrt{5} \\ = 21 \sqrt{2} + 12 \sqrt{5} \end{gathered}1218−620−350+845=122×3×3−62×2×5−32×5×5+83×3×5=12×32−6×25−3×52+8×35=362−125−152+245=362−152−125+245=212+125