For positive real numbers and with

MATHEMATICS · Single correct · CBSE · Mathematics · Number Systems · Number Systems

Problem

For positive real numbers aa and bb with a>ba>b, which of the following is always true? (a) a=b\sqrt{a} = \sqrt{b} (b) No definite relation between a and b\text{No definite relation between }\sqrt{a}\text{ and }\sqrt{b} (c) a>b\sqrt{a} > \sqrt{b} (d) a<b\sqrt{a} < \sqrt{b}

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