All the following are true for irrational numbers except ...*1 pointthey have repeating decimalsthey are square root of prime numbersthey have nonterminating decimalsthey are square root of composite numbers without perfert squareOther:

Check whether the statement below is true or false.“The square root of every composite number is rational.”Justify your answer by proving rationality or irrationality as applicable

Which of the following statements is true?Every irrational number can be represented as a fraction.Every irrational number can be represented with the help of decimals.Every rational number can be represented as a terminating decimal.Every rational number can be represented as an integer.

Given:(1) The following argument is valid:p -> qNOT p______Therefore NOT q(2) Let a and b be two positive integers such that a > 1, b > 1, and a > b.SQRT(SQRT(a)) - SQRT(SQRT(b)) is always an irrational number.Select one of the following choices:Question 1Answera.(1) and (2) are False.b.(1) and (2) are True.c.(1) is True and (2) is False.d.(1) is False and (2) is True.

Assertion : 113 x 114 = 1112Reason : If a > 0 be a real number and p and q be rational numbers.Then ap x aq = ap + q.10. Assertion : Rational number lying between 14 𝑎𝑛𝑑 12 𝑖𝑠 38.Reason : Rational number lying between two rational numbers x and y is 𝑥+𝑦2 .11. Assertion : √5 is an irrational number.Reason : A number is called irrational, if it cannot be written in the form p/q, where p and qare integers and q ≠ 0.12. Assertion : 0.329 is a terminating decimal.Reason : A decimal in which a digit or a set of digits is repeated periodically, is called arepeating, or a recurring, decimal.13. Assertion : The rationalizing factor of 3 + 2√5 is 3 – 2√5.Reason : If the product of two irrational numbers is rational then each one is called therationalising factor of the other.

Statement B (Reason): √p+ √q is an irrational number, if p and q are prime natural number. a. Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A) b. Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A) c. Assertion (A) is true but reason (R) is false d. Assertion (A) is false but reason (R) is true.