Question

Simplify the radical expression by rationalizing the denominator.9 square root of 25 divided by the square root of 50

Answer 1

Answer:

radical form of the fraction is $\frac{9\sqrt{2} }{2}$

Step-by-step explanation:

We have to simplify the radical expression by rationalizing the denominator.

Given fraction is $\frac{9\sqrt{25} }{\sqrt{50} }$

we will simplify the numeration and denominator of the given fraction.

Numerator $9\sqrt{25}=(9)(5)=45$

Denominator $\sqrt{50}=\sqrt{(25)(2)}=(\sqrt{2})(\sqrt{25})$

= $5\sqrt{2}$

Now the fraction is $\frac{45}{5\sqrt{2} } =\frac{9}{\sqrt{2} }$

Now for radical expression we will multiply with $\sqrt{2}$ with numerator as well as denominator both

$(\frac{9}{\sqrt{2} })(\frac{\sqrt{2} }{\sqrt{2} })=\frac{9\sqrt{2} }{2}$

Therefore, radical form of the fraction is $\frac{9\sqrt{2} }{2}$

Answer 2

(9√25) /√50 = 9*5/√50 now simplify the denominator. √50=√25*√2=5√2
so (9*5)/(5√2) simplifies to 9/√2. To rationalize the denominator multiply both the numerator and the denominator by √2.
9√2/(√2*√2) = 9√2/2