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Q. If \( x^2 = 2 \), find \( x^3 \)
(a) \( \sqrt{2} \) (b) \( 2\sqrt{2} \) (c) \( 3\sqrt{2} \) (d) 4
✏️ Solution
\( x^2 = 2 \)
\( x = \sqrt{2} \) (since x is positive)
\( x^3 = x \cdot x^2 \)
\( = \sqrt{2} \cdot 2 \)
\( = 2\sqrt{2} \)
Correct Option: (b) \( 2\sqrt{2} \)
\( \boxed{2\sqrt{2}} \)