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(i) x^2–2x –8 (ii) 4s^2– 4s + 1 4 years ago Priya123 class 10 cbse ncert real numbers The following real numbers have decimal expansions as given below. In each case, decide whether they are rational or not. If they are rational, and of the form, p q what can you say about the prime factors of q? (i) 43.123456789 (ii) 0.120120012000... 4 years ago Priya123 class 10 cbse ncert real numbers Without actually performing the long division, state whether the following rational numbers (i) 23/(2^35^2) (ii) 129/(2^25^77^5) (iii) 6/15 (iv) 35/50 4 years ago Priya123 class 10 cbse ncert real numbers Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion: (i) 13/3125 (ii) 17/8 (iii) 64/455 4 years ago Priya123 class 10 cbse ncert real numbers Prove that the following are irrationals: (i) 1/√2 (ii) 7√5 (iii) 6 + √2 4 years ago Priya123 class 10 cbse ncert real numbers Prove that 3 + 2√5 is irrational. 4 years ago Priya123 class 10 cbse ncert real numbers Prove that √5 is irrational. 4 years ago Priya123 class 10 cbse ncert real numbers 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. 4 years ago Priya123 class 10 cbse ncert real numbers Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers. 4 years ago Priya123 class 10 cbse ncert real numbers Check whether 6^n can end with the digit 0 for any natural number n. 4 years ago Priya123 class 10 cbse ncert real numbers Given that HCF (306, 657) = 9, find LCM (306, 657). 4 years ago Priya123 class 10 cbse ncert real numbers 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 4 years ago Priya123 class 10 cbse ncert real numbers Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers. (i) 26 and 91 (ii) 510 and 92 (iii) 336 and 54 4 years ago Priya123 class 10 cbse ncert real numbers Express each number as a product of its prime factors: (i) 140 (ii) 156 (iii) 3825 (iv) 5005 (v) 7429 4 years ago Priya123 class 10 cbse ncert real numbers Use Euclid’s division lemma to show that the cube of any positive integer is of the form 9m, 9m + 1 or 9m + 8. 4 years ago Priya123 class 10 cbse ncert real numbers Use Euclid’s division lemma to show that the square of any positive integer is either of form 3m or 3m + 1 for some integer m. 4 years ago Priya123 class 10 cbse ncert real numbers An army contingent of 616 members is to march behind an army band of 32 members in a parade. 4 years ago Priya123 class 10 cbse ncert real numbers Show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q is some integer. 4 years ago Priya123 class 10 cbse ncert real numbers Use Euclid’s division algorithm to find the HCF of: (i) 135 and 225 (ii) 196 and 38220 (iii) 867 and 255 4 years ago Priya123 class 10 cbse ncert real numbers Share: Super Globals Requests: Server: Options and Features route: community use_home_url: url: https://eanshub.com/community/ pageid:187 default_groupid: 3 2022 How Can We Help? 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