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Rationalise the denominator and give your answer in simplest form: 3 over the square root of 15

 Sep 18, 2016
edited by Guest  Sep 18, 2016
 #1
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Rationalise the denominator and give your answer in simplest form: 3 over the square root of 15

 

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 Sep 18, 2016
 #2
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The question in the title:

\(\sqrt{\dfrac{3}{5}}\\ =\dfrac{\sqrt3}{\sqrt5}\leftarrow\text{Distributive property of square roots}\\ = \dfrac{\sqrt3}{\sqrt5}\times\dfrac{\sqrt5}{\sqrt5}\\ =\dfrac{\sqrt3 \times \sqrt5}{(\sqrt5)^2}\\ =\dfrac{\sqrt{15}}{5}\leftarrow\text{Multiplicative property of square roots}\)

 Sep 18, 2016

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