Question

Rationalise the denominator of 1 upon 4+2root3

Answer 1

Hi friend, Parth here.

Here is your answer:

Given ,

An number       -      

Objective:

To rationalize the denominator.

Solution,

To rationalize the denominator we must multiply and divide the number by the denominator's conjugate.

Conjugate of denominator is -- 2 + √3.

Then,

We know  that, (a+b) ( a-b) = a² - b².

So, (2+√3)(2-√3) = 2² -(√3)² = 4 - 3 = 1.

Then,

⇒   

Hence the denominator  is rationalized.

_______________________________________________

Hope my answer is helpful to you.