How do you simplify sqrt.27 + rsqrt.75?

May 10, 2015

You can write it as:
$= \sqrt{\frac{27}{100}} + r \sqrt{\frac{75}{100}} =$
$= \sqrt{\frac{3 \cdot 9}{100}} + r \sqrt{\frac{3 \cdot 25}{100}} =$
$= \frac{3}{10} \sqrt{3} + \frac{5}{10} r \sqrt{3} =$
$= \frac{\sqrt{3}}{10} \left(3 + 5 r\right)$