Instructions

What should come in place of the question mark (?) in the following questions?

Question 122

$$\sqrt[3]{13824}\times\sqrt{?}=864$$

Solution

Expression : $$\sqrt[3]{13824}\times\sqrt{?}=864$$

=> $$\sqrt[3]{2^3 \times 2^3 \times 2^3 \times 3^3} \times \sqrt{?} = 864$$

=> $$2 \times 2 \times 2 \times 3 \times \sqrt{?} = 864$$

=> $$\sqrt{?} = \frac{864}{24} = 36$$

=> $$? = 36^2 = 1296$$


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