10.01 is a rational number
The area of a triangle can be a rational number or an irrational number depending on its dimensions.
Rational
Such a product is always irrational - unless the rational number happens to be zero.
The sum of a rational and irrational number must be an irrational number.
Any, and every, irrational number will do.
10.01 is a rational number
Let R1 = rational number Let X = irrational number Assume R1 + X = (some rational number) We add -R1 to both sides, and we get: -R1 + x = (some irrational number) + (-R1), thus X = (SIR) + (-R1), which implies that X, an irrational number, is the sum of two rational numbers, which is a contradiction. Thus, the sum of a rational number and an irrational number is always irrational. (Proof by contradiction)
Rational
The area of a triangle can be a rational number or an irrational number depending on its dimensions.
It is a rational number.
is 34.54 and irrational or rational. number
it is a rational number but 4.121314..... is an irrational no
Irrational.
Such a product is always irrational - unless the rational number happens to be zero.
It is irrational. 133 = 7*17 and so is not the square of any rational number. Therefore its square root cannot be rational.
The product of a rational and irrational number can be rational if the rational is 0. Otherwise it is always irrational.