Real Numbers Question 1 Find the rational number between root 2 and root 3? Question 2 Tow positive integers a and b can be written as a = x^3y^2 and b= xy^3. x, y are prime numbers, then LCM (a, b). Question 3 Find the HCF of 1260 and 7344 using Euclid's algorithm. Question 4 Show that every positive integer is of the form 4q+1 or9 4q+3 where q is some integer. Question 5 Prove that root 2 is an irrational number. Question 6 Prove that 2+(root 3/5) is an irrational number, given that root 3 is an irrational number. Question 7 Prove that 2+5 root 3 is an irrational number. Question 8 What is the HCF of smallest prime number and the smallest composite number? Question 9 Given that root 2 is irrrational, prove that (5+3 root 2) is an irrational number. Question 10 Find HCFand LCM of 404 and 96 and verifiy that HCF*LCM = Product of the two given numbers. Question 11 Write whether ( 2 root 45 + 3 root 20)/( 2 root 5 ) on simplification gives an irrationa...
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