Math, asked by kirthana7777, 1 year ago

simplify:
2 \sqrt{50} + 3 \sqrt{32}   + 4 \sqrt{18}

Answers

Answered by rajeev378
10
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Here is your answer

2 \sqrt{5 \times 5 \times 2}  + 3 \sqrt{2 \times 2 \times 2 \times 2 \times 2 }  + 4 \sqrt{2 \times 3 \times 3}  \\  \\  = 2 \times 5 \sqrt{2}  + 3 \times 2 \times 2 \sqrt{2}  + 4 \times 3 \sqrt{2}  \\  \\  = 10 \sqrt{2}  + 12 \sqrt{2}  + 12 \sqrt{2}  \\  \\  = (10 + 12 + 12) \sqrt{2}  \\  \\  = 34 \sqrt{2}

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Answered by MonarkSinghD
11
Hi friends

Here is your 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 + 12 + 12) \sqrt{2}  \\  = 34 \sqrt{2}
Hope it helps you

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