Pergunta

Multiply. (4sqrt (6)-2)(5sqrt (3)+4)
Solução

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CintiaMestre · Tutor por 5 anos
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To multiply the given expression, we will use the distributive property (also known as the FOIL method for binomials):<br /><br />$(4\sqrt{6} - 2)(5\sqrt{3} + 4)$<br /><br />First, we multiply the first terms:<br />$4\sqrt{6} \cdot 5\sqrt{3} = 20\sqrt{18} = 20\sqrt{9 \cdot 2} = 20 \cdot 3\sqrt{2} = 60\sqrt{2}$<br /><br />Next, we multiply the outer terms:<br />$4\sqrt{6} \cdot 4 = 16\sqrt{6}$<br /><br />Then, we multiply the inner terms:<br />$-2 \cdot 5\sqrt{3} = -10\sqrt{3}$<br /><br />Finally, we multiply the last terms:<br />$-2 \cdot 4 = -8$<br /><br />Now, we combine all the terms:<br />$60\sqrt{2} + 16\sqrt{6} - 10\sqrt{3} - 8$<br /><br />Therefore, the final answer is:<br />$60\sqrt{2} + 16\sqrt{6} - 10\sqrt{3} - 8$
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