Question

Find the

$\left(iii\right)$ Sub - duplicate ratio of $9x^2{a}^4:25y^6{b}^2$

Answer 1

Step: Find the Sub-duplicate ratio

Square root of given ratio is the sub-duplicate ratio.

$\therefore$ Sub - duplicate ratio $=\sqrt{9x^2{a}^4}:\sqrt{25y^6{b}^2}$

$=\sqrt{(3x{a}^2{)}^2}:\sqrt{(5y^{3}b{)}^2}$

$=3x{a}^2:5y^{3}b$

Hence, the sub-duplicate ratio of

$9x^2{a}^4:25y^6{b}^2\text{is}3x{a}^2:5y^{3}b$