Question

Simplify:-

$3 \sqrt{45} - \sqrt{125} + \sqrt{200} - \sqrt{50}$
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Answer 1

Step-by-step explanation:

3√45-√125+√200-√50

3√45-√125+√200-√50

3√45-√125+√200-√50= 3 √(9 × 5) − √(25 × 5) + √(100 × 2) − √(25 × 2)

3√45-√125+√200-√50= 3 √(9 × 5) − √(25 × 5) + √(100 × 2) − √(25 × 2)= 9√5 − 5√5 + 10√2 − 5√2

3√45-√125+√200-√50= 3 √(9 × 5) − √(25 × 5) + √(100 × 2) − √(25 × 2)= 9√5 − 5√5 + 10√2 − 5√2= 4√5 + 5√2

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