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Question 135
If $$a : b = 3 : 4, b : c = \frac{8}{9}$$ and $$c : d = \frac{2}{3}$$, then the value of $$\sqrt[4]{\frac{ad}{b^2}}$$ is
Solution
Given = $$a : b = 3 : 4, b : c = \frac{8}{9}$$ and $$c : d = \frac{2}{3}$$
Multiplying equation (iii) by 9 and equation (ii) by 2, and (i) by 4
=> $$a:b:c:d=12:16:18:27$$
To find = $$\sqrt[4]{\frac{ad}{b^2}}$$
= $$\sqrt[4]{\frac{12\times27}{16\times16}}$$
= $$\sqrt[4]{\frac{81}{64}}$$
= $$\frac{3}{2\sqrt2}=\frac{3\sqrt2}{4}$$
=> Ans - (D)
