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Real numbers EXERCISE 1.2 Solutions
- Q1: Prove that $\sqrt{5}$ is irrational.
- Q2: Prove that $3 + 2\sqrt{5}$ is irrational.
- Q3(i): Prove that the following are irrationals : (i) $\frac{1}{\sqrt{2}}$
- Q3(ii): Prove that the following are irrationals : (ii) $7\sqrt{5}$
- Q3(iii): Prove that the following are irrationals : (iii) $6 + \sqrt{2}$
Other Exercises for CBSE - Class 10 Mathematics Real numbers
Chapters in CBSE - Class 10 Mathematics
Top Tutors who teach Real numbers
Private teacher. Classes will be taken for science also but only for Physics and Chemistry. I have been teaching for Class 10 for the past 15 years. Focus will be given to each student regarding their difficult concepts. Previous year question papers will be discussed, along with practice worksheets that will be given for each chapter. Coaching will be given to score good marks in respective board exams by giving them tricks to manage the timings
Wonderful teacher with enormous knowledge about the subject with a smile every time while teaching...
This is Debabrato Chatterjee, an Maths and Science tutor with more than fifteen years of experience. I have been and am teaching students of IB, IGCSE, CBSE, ICSE, and Maharastra State Boards. My teaching style is to learning from concepts and their application. Solving many papers and completing homework helps grasp the concepts. I teach students from grade VI to XII. Please let me know when you would like to schedule a demo.
I am Mopidevi Padmaja, an experienced Math Teacher, Quantitative Aptitude Coach, and Certified Vedic math trainer. I teach CBSE 9th and 10th Math, Quantitative Aptitude for Competitive exams (CAT, SSC, RRB, etc.) & Vedic Maths starting from grade 6 to graduation level students. -------------------------------------------------------------------------------------------------- I hold an Engineering degree & am an Associate Member of the Institution of Engineers (India) I am also a certified Vedic Math trainer -------------------------------------------------------------------------------------------------- I have over 10+ years of teaching experience both online & offline. I have taught over 1000+ students to date. I have been teaching online for the last 7 years for Indian and overseas students. I am familiar with various teaching platforms available online and comfortable using them. -------------------------------------------------------------------------------------------------- I have a passion for making Math the easiest, simple, and most fun subject for students. I work on various learning issues in Math, like Math phobia, focus problems, word problem understanding, concept understanding, confusion, time management in math exams, and silly mistakes which is a major problem for most students. I could help my students to score more than 90% marks in Maths subjects who were losing around 20 to 25 marks by confusion in concepts, silly mistakes, lack of time management in math exams, etc. I am successful in making Math an interesting and easy subject for my students who have hated Math. -------------------------------------------------------------------------------------------------- I thoroughly teach fundamentals, concepts, formulae, and guide with smart ways of doing calculations, smart ways of doing word problems, strategies for solving questions, etc. I use visual aids in teaching like 2D animated PowerPoint presentations. I make students comfortable and at ease and encourage them to ask their doubts during a session and even after sessions through messages. I respond to messages within a short time. If more students have doubts about a specific topic I even take a special session for them. I always try to improve my techniques of assessment by using a quiz, worksheets, test papers, Sample papers, etc., so that I can do 100 % assessment and take the necessary steps to improve my students. Every student is important to me. In each session, I teach according to the needs and understanding levels of my students. I work with students having various intellectual and behavioral capabilities. I learn to teach and teach to learn. My ultimate goal is to help the student to become an independent learner. I believe marks are not about grades and ranks but about building confidence levels in students. ---------------------------------------------------------------------------------------------- I continuously upgrade myself by attending workshops, and webinars, browsing the internet and reading lots of books. I use Digital Media for a lot of learning new developments in the field of my teaching. I attend webinars & seminars and interact with other teachers & professionals from across the world.
I would like to express my sincere gratitude to the teacher Padmaja Mopidevi for the exceptional guidance provided to my daughter throughout the CBSE 10th grade. Her dedication and teaching methods truly helped simplify complex mathematical concepts, making the subject much more approachable. Thanks to her constant support and encouragement, my daughter was able to secure a distinction in her board exams. We are incredibly grateful for the positive impact she has had on my daughter's academic journey and confidence. I highly recommend her tuition classes to any student looking to excel in mathematics.
This is Prita Chatterjee with 27 years of teaching in the Engineering College and Schools .I teach Maths for all the boards - IB AA(SL& HL) ,IB - AI(HL&SL),Integrated Maths ,MYP ,Cambridge A Level , Additional Maths, IGCSE O Level, ISC, ICSE , CBSE .Presently, I am tutoring students from U.S. France, Austrailia , Netherland , Japan, Singapore, Malaysia , Thailand , Phillipines , Dubai , Riyadh , Doha, and pan India . I would love to teach from basics . .If you would like me to teach your child , kindly let me know ,so we can schedule a demo ,as per suitability.
She is a good teacher with very well and skilled explanations and making sure that students do each and every sum from text book.Hoping that she teaches out of the book&concepts too.:) my only concern is I can’t expect the reply for my messages as quick.
I was a teacher at a CBSE-affiliated school. I have six years of experience teaching on online platforms. I have been conducting Mathematics, Physics, and Chemistry classes for high school and higher secondary students for more than 20 years. I believe I can encourage and motivate students to achieve excellent academic results while inspiring them to develop good values and habits.
Sini ma'am is an excellent maths teacher. I joined her classes at exactly the right time when I needed clarity, and she explained every concept in a very simple and structured way. Her teaching style made even difficult topics easy to understand, and my confidence in maths improved a lot in a short period. She is very patient, supportive, and genuinely cares about her students’ understanding. I’m really grateful for the guidance and clarity she gave me.
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