CBSE Maths for Class 10th Irrational Numbers from Real Numbers

Irrational Numbers

Theorem 4

Prove that √11 is irrational.

Proof:-let √11 be rational and let its simplest form a/b.

Then a and b are integers having no common factor other than 1 and b is not equal 0

√11=a/b

11=a²/b² on squaring both sides

11b²=a²

11 divide a²

11 divide b²

11 divide a

11 is prime and 11 divides a²

Let a =11c for some positive integer c

Putting a=11c in, we get

11b²=121c²

b²=11c²

11 divide b²

11 divide b

Thus 11 is a common factor of a and b.

Know more...

Comments

Last Minute Tips to Crack SSC CGL 2019-20 (Tier-I) Exam

Last-Minute Tips to Crack SSC CGL 2019-20 (Tier-I) Exam 1. Don’t read any new topic at the last moment · Try to avoid studying any new topic at the last moment. Just revise what you have already studied. 2. Don’t forget your Admit Card, Photograph and ID Proof · Take a print out of your admit card and original photo identity proof, 1 photo and photocopy of the ID proof. Reach the examination center before time to avoid any last-minute trouble. 3. Maintain your Speed & Accuracy and Maximize your Score · Speed and Accuracy are two important factors to crack any competitive exam. Speed will help in maximizing the attempts while accuracy will ensure that you don’t end up losing marks as the negative marking of 0.5 marks for wrong answers is there. 4. Attempt according to the strategy you followed in the mock tests · Make sure you attempt the easier section first. The exam should be attempted with the same strategy you fol...

Online cbse coaching class for 11 Mathematics

Online cbse Class 11 maths : Online coaching classes for 11 maths and for other subjects. We are here to solve students problem instantly, So that they can improve himself/herself. One to One Correspondence and Equivalent Sets Suppose the members of the family are dinning and plates are prepared on the table then there is a One to one correspondence between the set of family members and the plates prepared. We will indicate this correspondence by the symbol If each element of a set A is associated with one and only one element of a set B and each element of B is associated with one and only one element of set A, then the sets A and B are said to be in one to one correspondence. If both the sets are finite and if they are in one to one correspondence, it is obvious that they have the same number of elements. If two sets have the same number of elements, they are said to be equivalent sets. Using symbol, we write A B. Between two equivalent sets, a one to one corr...

Digital marketing course online and class

Digital marketing course online and class Students and professionals, both are searching for the digital marketing courses . Generally, the problem occurs in selecting the best digital marketing course is – as students and professionals, both have different requirements. Few search for a regular course, some want an additional qualification, or just to improve their skills. On the other hand, every institute has its own pros and cons, learner requirements are not easily matched with the institute’s pattern and regulations. So, they are willing to join some online course as they can learn anytime and anywhere. In India, another challenge is language. Like in North India, Majority of students understands Hindi and they want to do a digital marketing course in Hindi. Finding a good trainer who can teach you in Hindi is very difficult. But this type of course, practical knowledge and getting answers to questions, from a trainer is not so easy. Continue .... ...

Takshila Learning - Online Tutorials

Search This Blog