Question

3√45-√125+√200+√50 simplify

Answer 1

Heya !!



3 root 45 - root 125 + root 200 + root 50




=> 3 under root 3 × 3 × 5 - root5 × 5 × 5 + root 2 × 2 × 2 × 5 × 5 + root 2 × 5 × 5




=> 9 root 5 - 5 root 5 + 10 root 2 + 5root 2





=> 4 root 5 + 15 root 2 [ Answer ]

Answer 2

$= > 3 \sqrt{45} - \sqrt{125} + \sqrt{200} + \sqrt{50} \\ \\ = > 3 \sqrt{3 \times 3 \times 5} - \sqrt{5 \times 5 \times 5} + \sqrt{2 \times 10 \times 10} + \sqrt{2 \times 5 \times 5} \\ \\ = > 9 \sqrt{5} - 5 \sqrt{5} + 10 \sqrt{2} + 5 \sqrt{2} \\ \\ = > \sqrt{5} (9 - 5) + \sqrt{2} (10 + 5) \\ \\ = > 4 \sqrt{5} + 15 \sqrt{2}$
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