Question

if x= 2/sqrt(5) and 1/x= p×sqrt(5) , find the vslue of p 9​

Answer 1

Given :

$:\implies\sf\:x=\dfrac{2}{\sqrt{5}}$

$:\implies\sf\:\dfrac{1}{x}=p\times \sqrt{5}$

To Find :

➳ Value of p.

Explanation :

$\leadsto\sf\:x=\dfrac{2}{\sqrt{5}}\:\longrightarrow\:(I)$

$\leadsto\sf\:\dfrac{1}{x}=p\times \sqrt{5}\:\longrightarrow\:(II)$

Putting value of (I) in (II), we get

$\mapsto\sf\:\dfrac{1}{x}=p\times \sqrt{5}$

$\mapsto\sf\:\dfrac{\sqrt{5}}{2}=p\times \sqrt{5}$

$\mapsto\sf\:p=\dfrac{\sqrt{5}}{2\times \sqrt{5}}$

$\mapsto\:\boxed{\bf{p=2}}$