Question

5) Show that Laplace
${ \frac{1}{ \sqrt{\pi} } = \frac{1}{ \sqrt{s} }$
​

Answer 1

$\huge \bold{{ \frac{1}{ \sqrt{\pi} } = \frac{1}{ \sqrt{s} }}}$

$\huge \bold{{ \frac{1}{ \sqrt{ \frac{22}{7} } } = \frac{1}{ \sqrt{s} }}}$

$\huge\bold{{\frac{ \sqrt{7} }{ \sqrt{22} }} = \frac{1}{ \sqrt{s}}}$

$\huge \bold{ \frac{7}{22} = \frac{1}{x} }$

$\huge \bold{ \frac{7}{22} x = 1}$

$\huge \bold{ \frac{7x}{22} = 1}$

$\huge \bold{7x = 1 \times 22}$

$\huge \bold{7x = 22}$

$\huge \bold{x = \frac{22}{7} \: or \: x = \pi }$