1.

Find the route of 9261 in solution not direct

Answer»
either \: take \: lcm \: or \: do  \\ \: factorixation \: of \: 9261 \: ........ \\ and \: then \: for \: square \: root \:  \\ pair \: up \: numbers \: \\  in \: grp \: of \: 2s \\  and \: for \: cube \: root \: pair \: in \: 3\\ 9261 = 3 \times 3 \times 3 \times 7 \times 7 \times 7 \\  \\  \sqrt{9261}  =  \sqrt{ {3}^{3} \times  {7}^{3}  }  = 3 \times 7 \times  \sqrt{21}  \\  \sqrt{9261}  = 21 \sqrt{21}  \\  \\  \\  \\ now \: cube \: root \\  \sqrt[3]{9261}  =  \sqrt[3]{ {3}^{3}  \times   {7}^{3}  }  = 21
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