Question

Radical din6,25supra 0,16=2,5 supra 0,4 va rog.nustiu.cum sa il fac

Answer 1

 

$\displaystyle\bf\\\sqrt{\frac{6,\!25}{0,\!16}}=\sqrt{\frac{~~\dfrac{625}{100}~~}{~\dfrac{16}{100}~}}=\frac{~~\sqrt{\dfrac{625}{100}}~~}{~\sqrt{\dfrac{16}{100}}~}=\\\\\\ =\frac{~~\dfrac{\sqrt{625}}{\sqrt{100}}~~}{~\dfrac{\sqrt{16}}{\sqrt{100}}~}= \frac{~~\dfrac{\sqrt{25^2}}{\sqrt{10^2}}~~}{~\dfrac{\sqrt{4^2}}{\sqrt{10^2}}~}= \frac{~~\dfrac{25}{10}~~}{~\dfrac{4}{10}~}=\boxed{\bf\frac{2,\!5}{0,\!4}}$