Question

2√27 − 3√125 + √48 − 5√80

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Answer to a math question 2√27 − 3√125 + √48 − 5√80

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Miles

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114 Answers

\begin{align*}2\sqrt{27} & = 2 \cdot 3\sqrt{3} = 6\sqrt{3} \\3\sqrt{125} & = 3 \cdot 5\sqrt{5} = -15\sqrt{5} \\\sqrt{48} & = 4\sqrt{3} \\5\sqrt{80} & = 5 \cdot 4\sqrt{5} = -20\sqrt{5} \\\end{align*}

Combining like terms:

6\sqrt{3} + 4\sqrt{3} - 15\sqrt{5} - 20\sqrt{5}

= 10\sqrt{3} - 35\sqrt{5}

Answer:

10\sqrt{3} - 35\sqrt{5}

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