1675512=16 #215;5 #215;5 #215;352 #215;2 #215;3=16 #215;25 #215;35 #215;4 #215;3=16 #215;5 #215;35 #215;2 #215;3=8 ...

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Introducing Large Numbers

Divide 1675 b...

Question

Divide $16 \sqrt{75} by 5 \sqrt{12}$ .

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Solution

$\frac{16 \sqrt{75}}{5 \sqrt{12}} = \frac{16 \times \sqrt{5 \times 5 \times 3}}{5 \sqrt{2 \times 2 \times 3}} = \frac{16 \times \sqrt{25} \times \sqrt{3}}{5 \times \sqrt{4} \times \sqrt{3}} = \frac{16 \times 5 \times \sqrt{3}}{5 \times 2 \times \sqrt{3}} = 8$

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