Question

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

Answer 1

(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

Answer 2

radical form of the fraction is
`(9√(2) )/(2)`

Explanation:

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

Given fraction is
`(9√(25) )/(√(50) )`

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

Numerator
`9√(25)=(9)(5)=45`

Denominator
`√(50)=√((25)(2))=(√(2))(√(25))`

=
`5√(2)`

Now the fraction is
`(45)/(5√(2) ) =(9)/(√(2) )`

Now for radical expression we will multiply with
`√(2)` with numerator as well as denominator both

`((9)/(√(2) ))((√(2) )/(√(2) ))=(9√(2) )/(2)`

Therefore, radical form of the fraction is
`(9√(2) )/(2)`