Question

How is
$\frac{3}{ \sqrt{3} } = \sqrt{3}$
??????????​

Answer 1

Answer:

$\frac{3}{ \sqrt{3} } = \sqrt{3} \\ rationalize \: denominator \\ lhs = \: \frac{3}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \\ = \frac{3 \sqrt{3} }{3} = \sqrt{3} = rhs$

Answer 2

${\huge{\boxed {\rm{\purple {Q}}{\orange{U}}{\red{E}}{\green{S}}{\pink{T}}{\blue{I}}{\red{o}}{\green{n}}}}}$

How is

$\dfrac{3}{ \sqrt{3} } = \sqrt{3}$ ??

${\huge{\bold{\purple{\bigstar{\boxed{\boxed{\bf{Solution}}}}}}}}$

$\sf\longrightarrow \dfrac{3}{ \sqrt{3} } = \sqrt{3}$

${\bold{\blue{\boxed{\bf{LHS }}}}}$

$\sf\longrightarrow \dfrac{3}{ \sqrt{3} }$

• rationalize the denominator

$\sf\longrightarrow\dfrac{3}{ \sqrt{3} } \times \dfrac{\sqrt 3}{\sqrt 3}$

$\sf\longrightarrow \dfrac{{\cancel 3}{ \sqrt{3} }} {\cancel 3}$

$\sf\longrightarrow\sqrt 3$

${\bold{\blue{\boxed{\bf{RHS}}}}}$

$\sf\longrightarrow\sqrt 3$

${\bold{\blue{\boxed{\bf{compare }}}}}$

$\sf\longrightarrow\sqrt 3$ = $\sf\sqrt 3$

...............Hence proved

____________________❤

THANK YOU ❤