If x = 3 +`2sqrt(2)` check whether ` x+(1)/(x)` is rational or irrational.

Check whether 7+3x is a factor of 3x^3+7x .

Check whether 5 is the solution of the equation 2x-5=5 .

Find the component of the following compound statement and check whether they are true or not: sqrt(2) is a rational number or an irrational number.

If f(x)={(x^2+1", "x ne 1),(" "3 ", "x=1):} , then check whether the function f(x) is continuous or discontinuous at x=1

Write the component statements of the following compound statements and check whether the compound statement is true or false: sqrt(2) is rational number or an irrational number. The school is closed, if there is a holiday or Sunday. A rectangle is a quadrilateral or a 5-sided polygon.

Write whether (2sqrt(45)+3sqrt(20))/(2sqrt(5)) on simplification gives a rational or an irrational number.

Determine whether the argument used to check the validity of the following statement is correct: p : If x^2 is irrational then x is irrational.

Examine whether the following numbers are rational or irrational : (3- sqrt5) ^(2)

Examine whether the following numbers are rational or irrational : (2sqrt3 + 3sqrt2) ^(2)

Examine whether the following numbers are rational or irrational : (2 sqrt3 - 3 sqrt2) (2sqrt3 + 3 sqrt2)