Question

Rationalize the denominator of the fraction below. What is the new denominator?A.3B.15C.-3D.-27

Answer 1

Given:

There is a fraction given as

`(5)/(3+√(6))`

Required:

We need to find the Rationalized denominator

Step-by-step explanation:

Here we are using below formula to find new denominator

`(a+b)(a-b)=a^2-b^2`

Now

`(5)/(3+√(6))`

now to rationalize the the denominator multiply numerator and denominator with

`3-√(6)`

applying this

`(5(3-√(6)))/((3+√(6))(3-√(6)))`

now using the formula in denominator

`(15-5√(6))/(3^2-(√(6))^2)`

here we need just denominator

so the denominator is

`3^2-(√(6))^2=9-6=3`

Final answer:

New denominator is 3