Question

why is a/sqrt(a)=sqrt(a) ?

Answer 1

\[a=\sqrt{a}^2\]

Answer 2

\[a/\sqrt{a} = \sqrt{a}^2/\sqrt{a}=\sqrt{a}\]

Answer 3

\[\frac{a}{\sqrt{a}}=\frac{\sqrt{a}\times \sqrt{a}}{\sqrt{a}}\]

Answer 4

one way to see it is to square both and see that you get \(a\)

Answer 5

\((\sqrt{a})^2=a\) and also \((\frac{a}{\sqrt{a}})^2=\frac{a^2}{a}=a\)