Question 101

What should come in place of the question marks in the following equations?
$$\frac{?}{24}=\frac{72}{\sqrt{?}}$$

Solution

Expression : $$\frac{?}{24}=\frac{72}{\sqrt{?}}$$

=> $$(?)^{(1+\frac{1}{2})}= 72 \times 24$$

=> $$(?)^{\frac{3}{2}} = 1728 = 12^3$$

Multiplying exponents by $$(\frac{2}{3})$$ on both sides

=> $$(?)^{(\frac{3}{2} \times \frac{2}{3})}= (12)^{(3 \times \frac{2}{3})}$$

=> $$(?)=12^2=144$$

=> Ans - (D)

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What should come in place of the question marks in the following equations?$$\frac{?}{24}=\frac{72}{\sqrt{?}}$$