Are all real numbers, rational numbers ?

No,all real nos. are not rational nos.

Let us see the definition of rational number.

A rational number is a number of the form p/q where p, q are integers with q not equal to 0. The set of rational numbers is denoted by Q.

Examples: all integers ……..-3,-2,-1,0,1,2,3………. Because any integer say 2 can be written as 2/1 which satisfies the definition of rational number. All fractions for instance, 3/4, -5/13, etc., are also rational numbers.

They can be converted into either terminating decimals like 3.25, 5.497, etc., or recurring decimals like 5.3535353535….., 6.471471471……

Those decimals which are neither terminating nor recurring are called irrational numbers. The set of irrational numbers is denoted by Q’.

Examples of irrational numbers are 2.65478354690153854……….., 23.5473569364520914…………

Other two good examples of irrational numbers are e and π.

The set of real numbers, denoted by R, is the union of these two disjoint sets ,Q the set of rational numbers and Q’ the set of irrational numbers.

Conclusion: The set of rational numbers forms a proper subset of real numbers.

i.e., all rational numbers are real numbers but not vice versa.

move it to the other side

step-by-step explanation:

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8