Question

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

Answer 1

$\textbf{Solution:}$

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

Hence , the final answer is 4√5 + 5√2.

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$\textbf{thankyou }$

Answer 2

Hey there!!

Here's your answer

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

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Hope it helps!!