Sadhana Bhadoriya

Q.3) Prove that the following are irrationals : (i). 1/√2 Solution:- (ii). 7/√5 Solution:- (iii). 6 + √2 Solution:-

Q.2) Prove that 3+2√5 is irrational. Solution:-

Q.1) Prove that √5 is irrational. Solution:- Best study motivation tips for students Let’s cut through the noise. You’re a student, and you know the drill. You have a mountain of textbooks, a syllabus that looks like a novel, and a brain that would much rather be doing anything else. The weight of expectation—from your

Q.7) There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet

Q.6) Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers. Solution:-

Q.5) Check whether 6n can end with the digit 0 for any natural number n. Solution:-

Q.4) Given that HCF (306, 657) = 9, find LCM (306, 657). Solution:-

Q.3) Find the LCM and HCF of the following integers by applying the prime factorisation method. (i) 12, 15 and 21 (ii) 17, 23 and 29 (iii) 8, 9 and 25