જો ${2^x} = {4^y} = {8^z}$ અને $xyz = 288,$ તો ${1 \over {2x}} + {1 \over {4y}} + {1 \over {8z}} = $
$11/48$
$11/24$
$11/8$
$11/96$
${{\sqrt {(5/2)} + \sqrt {(7 - 3\sqrt 5 )} } \over {\sqrt {(7/2)} + \sqrt {(16 - 5\sqrt 7 )} }}=$
જો $x = {2^{1/3}} - {2^{ - 1/3}},$ તો $2{x^3} + 6x = $
$\sqrt {[12 - \sqrt {(68 + 48\sqrt 2 )} ]} = $
${{{{[4 + \sqrt {(15)} ]}^{3/2}} + {{[4 - \sqrt {(15)} ]}^{3/2}}} \over {{{[6 + \sqrt {(35)} ]}^{3/2}} - {{[6 - \sqrt {(35)} ]}^{3/2}}}} = $
જો ${a^x} = {b^y} = {(ab)^{xy}},$ તો $x + y = $