In this video, we will learn how to rationalize the denominator of a fraction. Rationalizing the denominator means to eliminate the radical from the denominator. We can do this by multiplying the numerator and denominator by the conjugate of the denominator. The conjugate of a denominator is the same denominator with the sign of one of the terms flipped. For example, let's say we have the fraction 1/√2. The conjugate of the denominator is √2. So, to rationalize the denominator, we would multiply the numerator and denominator by √2. This gives us the following: (1/√2) * (√2/√2) = √2/2 As you can see, the radical is now gone from the denominator. We can also rationalize the denominator of a fraction with a more complex denominator. For example, let's say we have the fraction 1/(√3 - 1). The conjugate of the denominator is √3 + 1. So, to rationalize the denominator, we would multiply the numerator and denominator by √3 + 1. This gives us the following: (1/(√3 - 1)) * ((√3 + 1)/(√3 + 1)) = √3 + 1/2 I hope this video has helped you learn how to rationalize the denominator. If you have any questions, please leave a comment below. #shorttrick #ramanujan #class9maths #maths9 #numbersystem @MathsByJankiLalDhakerSir @mathsmasti @GaganPratapMaths @TrickyMathsEducationaadda Here are some additional tips for rationalizing the denominator: Make sure to distribute the multiplication sign when multiplying the numerator and denominator by the conjugate. Be careful not to simplify the numerator or denominator too much, or you may end up with a fraction that is not equivalent to the original fraction. If you are stuck, try to break the denominator down into simpler terms and then rationalize each term individually. With a little practice, you will be able to rationalize the denominator of any fraction!