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Simplify 5√12 - 4√75 + 3√48



1 Answer

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5√(12)-4√(75)+3√(48)\qquad \begin{cases} 12=&2\cdot 2\cdot 3\\ &2^2\cdot 3\\ 75=&3\cdot 5\cdot 5\\ &3\cdot 5^2\\ 48=&2\cdot 2\cdot 2\cdot 2\cdot 3\\ &4\cdot 4\cdot 3\\ &4^2\cdot 3 \end{cases} \\\\\\ 5√(2^2\cdot 3)-4√(3\cdot 5^2)+3√(4^2\cdot 3)\implies 10√(3)-20√(3)+12√(3)\implies 2√(3)

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