No. The easiest counter-example to show that the product of two irrational numbers can be a rational number is that the product of √2 and √2 is 2. Likewise, the cube root of 2 is also an irrational number, but the product of 3√2, 3√2 and 3√2 is 2.
Yes. sqrt(2), 2*sqrt(2) and -3*sqrt(2).
4
1/3. The full answer is irrational (0.3333 repeating) * * * * * The full answer, 0.33... repeating, is rational, not irrational.
The number 1.43 can be expressed as a fraction - as 1 43/100 or one and forty-three hundredths. Therefore, it is rational.
3/8 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
no
no
The square roots of three are examples of irrational numbers.
You can not add irrational numbers. You can round off irrational numbers and then add them but in the process of rounding off the numbers, you make them rational. Then the sum becomes rational.
No. The easiest counter-example to show that the product of two irrational numbers can be a rational number is that the product of √2 and √2 is 2. Likewise, the cube root of 2 is also an irrational number, but the product of 3√2, 3√2 and 3√2 is 2.
Integers are rational. In the set of real numbers, every number is either rational or irrational; a number can't be both or neither.
Not necessarily. The cube roots of 4, 6 and 9 are all irrational (and different). But their product is 6, not just rational, but an integer.
Rational
Rational
Real numbers, imaginary numbers and irrational numbers are three kinds of numbers. Others are rational numbers, algebraic numbers and primes numbers. There are many more.
The formal definition of rational numbers is: Any fractionwith whole numbers on top and bottom.