Radical Expression

Calculus Level pending

( 48 3 27 ) ÷ 3 = ? \left( \sqrt{48} - 3\sqrt{27} \right) \div \sqrt3 = \, ?


The answer is -5.

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1 solution

Sam Bealing
Jun 29, 2016

( 48 3 27 ) ÷ 3 = ( 3 × 4 2 3 3 × 3 2 ) ÷ 3 \left ( \sqrt{48} - 3\sqrt{27} \right) ÷ \sqrt{3}=\left (\sqrt{3 \times 4^2}-3 \sqrt {3 \times 3^2} \right) ÷ \sqrt{3}

= ( 4 × 3 9 × 3 ) ÷ 3 = 4 9 = 5 \cdots=\left (4 \times \sqrt{3}-9 \times \sqrt{3} \right) ÷\sqrt{3} =4-9=\boxed{\boxed{-5}}

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