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In the following question two equations numbered I and II are given. You have to solve both the equations and Give answer
I. \( \Large \sqrt{x} - \frac{\sqrt{6}}{\sqrt{x}} \) = 0
II. \( \Large y^{3} - 6^{(\frac{3}{2})} \) = 0
A) x > y
B) x \( \Large \geq \) y
C) x < y
D) x = y or the relationship cannot be established
Correct answer:
D) x = y or the relationship cannot be established
Description for Correct answer:
I. \( \Large \sqrt{x} - \frac{\sqrt{6}}{\sqrt{x}} \) = 0
=> x - \( \Large \sqrt{6} \) = 0
=> x = \( \Large \sqrt{6} \)
II. \( \Large y^{3} = 6^{\frac{3}{2}} = (\sqrt{6})^{3} \)
=> y = \( \Large \sqrt{6} \)
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