What is the following product? (2V7 +3V6)(5V2+4V3)

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Sdcbr asked Jul 18, 2023

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25 votes

What is the following product? (2V7 +3V6)(5V2+4V3)

Mathematics
high-school

Sdcbr asked Jul 18, 2023

by Sdcbr

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1 Answer

16 votes

$(2√(7)+3√(6))(5√(2)+4√(3)) \\\\\\ \begin{array}{lllllll} 10√(14)&+&15√(12)&+&8√(21)&+&12√(18)\\\\ &&15√(2^2\cdot 3)&&&&12√(3^2\cdot 2)\\\\ &&15\cdot 2√(3)&&&&12\cdot 3√(2)\\\\ &&30√(3)&&&&36√(2)\\\\ 10√(14)&+&30√(3)&+&8√(21)&+&36√(2)\\\\ 10√(14)&+&8√(21)&+&30√(3)&+&36√(2) \end{array}$