Question

Find the sub-duplicate ratio of $9p^2{q}^2:16r^2{s}^4$

Answer 1

Find the sub duplicate ratio:

We know, Sub-duplicate ratio of $a:b=\sqrt{a}:\sqrt{b}$

Required sub-duplicate ratio $$\begin{gathered} =\surd \left(9p^2{q}^2\right):\surd \left(16r^2{s}^4\right) \\ =3pq:4r{s}^2 \end{gathered}$$

Final answer:

Hence, the sub-duplicate ratio is $3pq:4r{s}^2$