Given that `sqrt p` is irrational for all prime p and also suppose that 3721 is a prime. Can you conclude that `sqrt 3721` is an irrational number ? Is your conclusion correct ? Why or why not ?

Given that sqrtp is irrational for all primes p,and suppose that 19423 is a prime. What can you conclude about sqrt 19423 ?

Show by contradiction p=sqrt(2) is irrational.

Given that the product of two rational numbers is rational, and suppose a and b are rationals, what can you conclude about ab ?

Given that the decimal expansion of irrational numbers is non-terminating, non-recurring, and sqrt 17 is irrational, what can we conclude about the decimal expansion of sqrt 17 ?

the line p is not a transversal , althought it cuts two lines I and m. Can you say, 'Why' ?

Given that all mathematics textbooks are interesting, and suppose you are reading a mathematics textbook. What can we conclude about the textbook you are reading?

Check the validity of the statement given below by the method given against it:- p: The sum of an irrational number and a rational number is irrational (by contradiction method).

Direction. In the follwing questions, a statement of assertion is followed by a statement of reason. While answering a question, you are required to choose the correct are out of the given four responses and mark it as (A). If both assertion and reason are true and reason is the correct explanation of the assertion, (B) if both assertion and reason are true but reason is not correct explanation of the assertion. (C) if asssertion is true, but reason if false, (D) if both assertion and reason are false Assertion : There are two values of angular frequency symmetrical about resonant angular frequency, for which same current can fow in an LCR-circuit. Reason : The two angular frequencies are given by omega _1 = 1 //sqrt(LC) and omega_2 = sqrt(LC)

Direction. In the follwing questions, a statement of assertion is followed by a statement of reason. While answering a question, you are required to choose the correct are out of the given four responses and mark it as (A). If both assertion and reason are true and reason is the correct explanation of the assertion, (B) if both assertion and reason are true but reason is not correct explanation of the assertion. (C) if assertion is true, but reason if false, (D) if both assertion and reason are false Assertion : A transformer can be used to increase/ decrease both voltage and the current. Reason : In a transformer, e_p I_p = e_sI_s and accordingly, if we gain in voltage, we lose in current and vice-versa.

Direction. In the follwing questions, a statement of assertion is followed by a statement of reason. While answering a question, you are required to choose the correct are out of the given four responses and mark it as (A). If both assertion and reason are true and reason is the correct explanation of the assertion, (B) if both assertion and reason are true but reason is not correct explanation of the assertion. (C) if assertion is true, but reason if false, (D) if both assertion and reason are false Assertion : In a transformer, the number of turns in the primary and secondary coils are 500 and 1,250 respectively. If the current in primary coil is 2 A, then the current in secondary coil will be 5 A. Reason : The current in secondary coil is given by I _ s = Ip xx (N_s)/(N_P)