Without using a calculator

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

Problem

Without using a calculator, compare

(\sqrt{3})^{\sqrt{12}}

and

(\sqrt{12})^{\sqrt{3}}

. Which statement is correct? (a) Both numbers are equal (b)

(\sqrt{12})^{\sqrt{3}}

is greater (c)

(\sqrt{3})^{\sqrt{12}}

is greater (d) Insufficient information to compare