Question

Simplify and rationalise the denominator of 3√27 ÷ 6√20.

Answer 1

Answer:

12√15 / 80

Step-by-step explanation:

$\frac{3 \sqrt{27} }{6 \sqrt{20} } \\ = \frac{3 \times 3 \sqrt{3} }{6 \times 2 \sqrt{5} } \\ = \frac{3 \sqrt{3} }{4 \sqrt{5} } \\ = \frac{3 \sqrt{3} }{4 \sqrt{5} } \times \frac{\sqrt{5} }{\sqrt{5} } \\ = \frac{</em></strong><strong><em> </em></strong><strong><em>3</em></strong><strong><em>\sqrt{15} }{</em></strong><strong><em>2</em></strong><strong><em>0</em></strong><strong><em>}$

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