Dividing Radicals Expressions Calculator

Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.

SIGN UP FOR A FREE TRIAL




The meaning of the word radical is root. In dividing the radical expression the most important step involves rationalizing the denominator which makes the denominator having no radicals. To rationalize, the given expression is multiplied and divided by its conjugate. The online tool used to divide the given radical expressions is called dividing radical expressions calculator.


Example 1: Divide and simplify the given radical expression:
4/ (2 - √3)

The given expression has a radical expression in the denominator.

 To simplify further the conjugate of the denominator (2 - √3) is to be found, which is (2 + √3).

Now multiply the numerator and denominator with (2 + √3).

This gives 4/ (2 - √3) * (2 + √3)/ (2 + √3)

4 * (2 + √3)/ (4 - 3) = 4* (2 + √3)/ 1 = 8 + 4√3.

Hence the answer is 8 + 4√3.


 
Example 2: Divide and simplify the given radical expression 12/ (3 - √5)?

The given expression has a radical expression in the denominator.

 To simplify further the conjugate of the denominator (3 - √5) is to be found, which is (3 + √5).

Now multiply the numerator and denominator with (3 + √5).

This gives 12/ (3 - √5) * (3 + √5)/ (3 + √5)

12 * (3 + 
5)/ (9 - 5) = 12* (3 + √5)/ 4 = 9 + 3√5.

Hence the answer is 9 + 3√5.
 


HAVE A QUESTION? Chat With Our Tutoring Experts Now