🎥 Watch Video Solution
Q. If \( 0 < y < x \), which statement must be true?
(a) \( \sqrt{x} – \sqrt{y} = \sqrt{x-y} \)
(b) \( \sqrt{x} + \sqrt{x} = \sqrt{2x} \)
(c) \( x\sqrt{y} = y\sqrt{x} \)
(d) \( \sqrt{xy} = \sqrt{x}\sqrt{y} \)
✏️ Solution
(a) \( \sqrt{x} – \sqrt{y} \neq \sqrt{x-y} \)
(b) \( \sqrt{x} + \sqrt{x} = 2\sqrt{x} \neq \sqrt{2x} \)
(c) \( x\sqrt{y} \neq y\sqrt{x} \)
(d) Property: \( \sqrt{ab} = \sqrt{a}\sqrt{b} \) (true for positive numbers)
Correct Option: (d)
\( \boxed{\sqrt{xy} = \sqrt{x}\sqrt{y}} \)