Given that `sqrt(p)` is irrational for all primes 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 ?

P.T 5-sqrt(3) is irrational.

If p prime number, then prove that sqrt(p) is irrational ?

Prove that sqrtp+sqrtq is an irrational, where p,q are primes.

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

Verify by the method of contradiction P: sqrt(5) is irrational.

Let p: 2 + 3 = 5, q = sqrt 2 is irrational. The symbolic form of the statement. " It is not true that 2 + 3 = 5 if and only if sqrt 2 is irrational ", is

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) ?

Kurthi said sqrt2 can be written (sqrt2)/(1) which is in (p)/(q) form. So sqrt2 is a rational number. Do you agree with her argument?

Prove that (2sqrt3+sqrt5) is an irrational number. Also check whether (2sqrt 3+ sqrt5)(2sqrt 3- sqrt5) is rational or irrational.

Check the validity of the statements given below by the method given against it. (i) p: The sum of an irrational number and a rational number is irrational (by contradiction method). (ii) q: If n is a real number with n gt 3 , then n^(2)gt9 (by contradiction method).