Question

$3 \sqrt{45} - \sqrt{125} + \sqrt{200 } - \sqrt{50}$
simplify the following
pls ans with explanation ​

Answer 1

Answer:

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

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Answer 2

Answer:

Consider the given expression.

⇒3

45

−

125

+

200

−

50

⇒3

3×3×5

−

5×5×5

+

2×2×2×5×5

−

2×5×5

⇒9

5

−5

5

+10

2

−5

2

⇒4

5

+5

2

Hence, this is the required result.

Step-by-step explanation:

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