Question

Solve for R: √2/2=24/R

The Book says the answer is 24√2
my question is how they got this answer? i have no idea.

Answer 1

\[\Large \frac{\sqrt{2}}{2} = \frac{24}{R}\]


\[\Large R\sqrt{2}= 2*24\]


\[\Large R\sqrt{2}= 48\]


\[\Large R = \frac{48}{\sqrt{2}}\]


\[\Large R = \frac{48\sqrt{2}}{\sqrt{2}*\sqrt{2}}\]


\[\Large R = \frac{48\sqrt{2}}{2}\]


\[\Large R = 24\sqrt{2}\]