How would you simplify the following radical.
$\sqrt\frac1B$
I am kind of confused do I multiply the numerator and denominator by B.
How would you simplify the following radical.
$\sqrt\frac1B$
I am kind of confused do I multiply the numerator and denominator by B.
$\sqrt{\frac{1}{B}} = \sqrt{\frac{1}{B}\frac{B}{B}} = \sqrt{\frac{B}{B^2}} = \frac{\sqrt{B}}{\sqrt{B^2}} = \frac{\sqrt{B}}{B}$
of course assuming that $B \neq 0$.
Although I am not sure which is more simple or appealing.
$\sqrt\frac1B=\frac1{\sqrt B}=\frac1{\sqrt B}\cdot\frac{\sqrt B}{\sqrt B}=\frac{\sqrt B}{(\sqrt B)^2}=\frac{\sqrt B}B$
Of course that we have to have $B>0$ for this to be meaningful in the context of real numbers.