Question

Divide 6root 5 by 3root 10​

Answer 1

$\huge \mathfrak \fcolorbox{red}{red}{ \fcolorbox{yellow}{yellow}{ \fcolorbox{green}{green}{ \fcolorbox{blue}{blue}{ \fcolorbox{indig}{indigo}{ \fcolorbox{violet}{violet}{ \fcolorbox{white}{white}{ \blue{ answer} }}}}}}}$

$\huge \sqrt{2}$

Step-by-step explanation:

$6 \sqrt{5} \div 3 \sqrt{10} \\ = \frac{6 \sqrt{5} }{3 \sqrt{10} } \\ = \frac{2 \sqrt{1} }{1 \sqrt{2} } = \\ = \frac{2 \times 1}{1 \times \sqrt{2} } \\ = \frac{2}{ \sqrt{2} } \\ = \frac{ \sqrt{2} \times \sqrt{2} }{ \sqrt{2} } \\ = \frac{ \sqrt{2 } \times 1}{1} \\ = \sqrt{2}$

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