Find sub-duplicate ratio of:

$(i i)$ $(x - y)^{4} : (x + y)^{6}$

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Solution

Step: Find sub-duplicate ratio

Sub-duplicate ratio is the square root of the given ratio.

Sub-duplicate ratio $= \sqrt{(x - y)^{4}} : \sqrt{(x + y)^{6}}$

$= (x - y)^{2} : (x + y)^{3}$

Hence, the sub-duplicate ratio is $(x - y)^{2} : (x + y)^{3}$

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Similar questions

\frac{x + y}{4} - \frac{x - y}{3} = 1; \frac{x + y}{2} + \frac{x - y}{6} = 12

Find the sub-duplicate ratio of

(ii) $16 x^{4} : 25 y^{4}$ .

x

(i i)

(2 x + 1) : (3 x + 13)

9 : 25

x : y

(x - a) : (y - a)

a = \frac{x y}{a + y}

Find the sub-duplicate ratio of $9 : 16$ .

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