Rationalise the denominator and give your answer in simplest form: 3 over the square root of 15
Rationalise the denominator and give your answer in simplest form: 3 over the square root of 15
The question in the title:
\(\sqrt{\dfrac{3}{5}}\\ =\dfrac{\sqrt3}{\sqrt5}\leftarrow\text{Distributive property of square roots}\\ = \dfrac{\sqrt3}{\sqrt5}\times\dfrac{\sqrt5}{\sqrt5}\\ =\dfrac{\sqrt3 \times \sqrt5}{(\sqrt5)^2}\\ =\dfrac{\sqrt{15}}{5}\leftarrow\text{Multiplicative property of square roots}\)