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Is the product of three rational numbers rational or irrational?
Wiki User
∙ 13y ago
A rational number in essence is any number that can be expressed as a fraction of integers (i.e. repeating decimal). Taking the product of any number of rational numbers will always yield another rational number.
Wiki User
∙ 13y ago
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Is the product of three irrational numbers always an irrational number?
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.
Can you add three irrational numbers to get a rational number?
Yes. sqrt(2), 2*sqrt(2) and -3*sqrt(2).
What is an unknown number x is less than 3 and greater than -1?
4
What goes into 1 three times?
1/3. The full answer is irrational (0.3333 repeating) * * * * * The full answer, 0.33... repeating, is rational, not irrational.
Is 1.43 an irrational or rational number?
The number 1.43 can be expressed as a fraction - as 1 43/100 or one and forty-three hundredths. Therefore, it is rational.
Is three eights rational or irrational?
3/8 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
Can you add three irrational numbers and get a rational number?
no
Can you multiply three irrational numbers to get a rational number?
no
Is the square root of three irrational or rational?
The square roots of three are examples of irrational numbers.
If three irrational numbers added together is the result irrational number?
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.
Is the product of three irrational numbers always an irrational number?
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.
Is three an irrational number rational number both rational and irrational or neither rational or irrational?
Integers are rational. In the set of real numbers, every number is either rational or irrational; a number can't be both or neither.
If three different irrational numbers are multiplied is the result an irrational number?
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.
Is three elevenths rational or irrational?
Rational
Is three fifths rational or irrational?
Rational
What are the three kinds of numbers?
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.
Is the fraction three sevenths an irrational number?
The formal definition of rational numbers is: Any fractionwith whole numbers on top and bottom.
