Question

Rationalize the denominator-
√40/√3

Answer 1

$\sqrt{40} \div \sqrt{3}$
(√40*√3)/√3*√3

√120/√9

$\huge\boxed{\texttt{\fcolorbox{red}{aqua}{final ans...}}}$

$\sqrt{120} \div 3$

Answer 2

$\huge\boxed{\texttt{\fcolorbox{aqua}{pink}{HÒLÅ !!}}}$


$\large\sf{{\dfrac{{\sqrt{40}}}{{\sqrt{3}}}}}$


$\large\sf{\implies {\dfrac{{\sqrt{2 × 2 × 2 × 5}}}{{\sqrt{3}}}}}$


$\large\sf{\implies {\dfrac{2 {\sqrt{2 × 5}}}{{\sqrt{3}}}}}$


$\large\sf{\implies {\dfrac{2{\sqrt{10}}}{{\sqrt{3}}}}}$


$\large\sf{\implies {\dfrac{2{\sqrt{10}}}{{\sqrt{3}}}} × {\dfrac{{\sqrt{3}}}{{\sqrt{3}}}}}$


${\large{\boxed{\sf{\red{\implies {\dfrac{2{\sqrt{30}}}{3}}}}}}}$