Question

1. √5 is a/an _______ number. 2. 1÷√2 is a/an _______ number. 3. 3+2√5 is a/an ________ number. 4. 7√5 is a/an _________ number 5. if p is a prime and p divides ________, then p also divides a, where a is a positive integer. 6. 6+√2 is a/an ______ number 7. an _________is a series of well defined steps which give a procedure for solving a type of problem. 8. A _______ is proven statement used for proving another statement. 9. LCM of 96 or 404 is _________ 10. HCF of 6,72 and 120 is __________. 11. represent 156 as a product of its prime factors __________. 12. negative of an irrational number is a/an ___________number 13. the sum of a rational and a n National number is a/an _________ number. 14. 35÷50 is a ___________decimal expansion. 15. the HCF of two number is 11 and their LCM is 693 . if one of the number is 77 then the other number is __________​

Answer 1

• √5 is an irrational number.

• 1/√2 is an irrational number.

• 3 + 2√5 is an irrational number.

• 7√5 is an irrational number.

• If 'p' is a prime and 'p' divides a², then 'p' also divides 'a', where a is a positive integer.

• 6 + √2 is an irrational number.

• An algorithm is a series of well defined steps which give a procedure for solving a type of problem.

• A lemma is proven statement used for proving another statement.

• LCM of 96 and 404 is 9696.

• HCF of 6, 72 and 120 is 6.

• The representation of 156 as a product of its prime factors is 3 × 2 × 2 × 13.

• Negative of an irrational number is an irrational number.

• The sum of a rational and an irrational number is an irrational number.

• 35/50 is a terminating decimal.

• The HCF of two numbers is 11 and their LCM is 693. If one of the number is 77 then the other number is 99.