Question

simplify 2 root 50 +3 root 32+ 4 root 18

Answer 1

Answer:

34√2

Step-by-step explanation:

2√50 + 3√32 + 4√18 = 2√(2×25) + 3√(2×16) + 4√(2×9) =

2×5√2 + 3×4√2 + 4×3√2 =

10√2 + 12√2 + 12√2 = 34√2

Answer 2

Answer:

$2 \sqrt{50} + 3 \sqrt{32} + 4 \sqrt{18} \\ = 2 \sqrt{25 \times 2} + 3 \sqrt{16 \times 2} + 4 \sqrt{9 \times 2} \\ = 2 \times 5 \sqrt{2} + 3 \times 4 \sqrt{2} + 4 \times 3 \sqrt{2} \\ = 10 \sqrt{2} + 12 \sqrt{2} + 12 \sqrt{2} \\ = 10 \sqrt{2} + 24 \sqrt{2} \\ = 34 \sqrt{2}$

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