Answer:
radical form of the fraction is [tex]\frac{9\sqrt{2} }{2}[/tex]
Step-by-step explanation:
We have to simplify the radical expression by rationalizing the denominator.
Given fraction is [tex]\frac{9\sqrt{25} }{\sqrt{50} }[/tex]
we will simplify the numeration and denominator of the given fraction.
Numerator [tex]9\sqrt{25}=(9)(5)=45[/tex]
Denominator [tex]\sqrt{50}=\sqrt{(25)(2)}=(\sqrt{2})(\sqrt{25})[/tex]
= [tex]5\sqrt{2}[/tex]
Now the fraction is [tex]\frac{45}{5\sqrt{2} } =\frac{9}{\sqrt{2} }[/tex]
Now for radical expression we will multiply with [tex]\sqrt{2}[/tex] with numerator as well as denominator both
[tex](\frac{9}{\sqrt{2} })(\frac{\sqrt{2} }{\sqrt{2} })=\frac{9\sqrt{2} }{2}[/tex]
Therefore, radical form of the fraction is [tex]\frac{9\sqrt{2} }{2}[/tex]
