Question

square root of 75 over 2 plus 3 square root of 5 over 4?

Answer 1

\[75=25\times 3\]
\[\sqrt{75}=\sqrt{25}\times \sqrt{3}=5\sqrt{3}\] is a start

Answer 2

so you have
\[\frac{5\sqrt{3}}{2}+\frac{3\sqrt{5}}{4}\]

Answer 3

if you want to add you need the same denominator so write
\[\frac{10\sqrt{3}}{4}+\frac{3\sqrt{5}}{4}\]
\[=\frac{10\sqrt{3}+3\sqrt{5}}{4}\]

Answer 4

no like terms in the numerator so nothing combines