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Example of two irrational numbers the product of which is an irrational number?
Wiki User
∙ 13y ago
sqrt(2)*sqrt(3) is an irrational product.
Wiki User
∙ 13y ago
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Is 10x 3.14 irrational?
The product of two rational numbers, as in this example, is always RATIONAL.However, if you mean 10 x pi, pi is irrational; the product of a rational and an irrational number is ALWAYS IRRATIONAL, except for the special case in which the rational number is zero.
What number is both real and irrational?
All irrational numbers are Real numbers - it's part of the definition of an irrational number. Imaginary numbers are neither rational nor irrational. An example of a number that is both Real and irrational is the square root of two. Another example is the number pi.
What is a example of irrational number?
An Irrational Number is a Number that cannot be converted to a Fraction and has an unstoppable amount of numbers after the decimal point. For Example, Pi is the most famous irrational number. If I didn't answer your question, search up Irrational Numbers.
Why are irrational numbers called surds?
Irrational number are NOT called surds. For example, pi is irrational but it is not a surd.Surds are a very small subset of irrational numbers.
What is an irrational number question and answers?
An irrational number can not be expressed as a fraction as for example the square root of 2
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 10x 3.14 irrational?
The product of two rational numbers, as in this example, is always RATIONAL.However, if you mean 10 x pi, pi is irrational; the product of a rational and an irrational number is ALWAYS IRRATIONAL, except for the special case in which the rational number is zero.
Does an irrational number times an irrational number equal an irrational number?
Not always. For example sqrt(2) and 1/sqrt(2) are both irrational, but their product is the rational number 1.
Is 121 an irrational number?
NO this number is way far from irrational, first of all let's classify this number, it's an integer, whole number, rational, even a perfect square. This number has two numbers that are not irrational. one example is 11, 11 those numbers are rational so the product can't be irrational.
What number is both real and irrational?
All irrational numbers are Real numbers - it's part of the definition of an irrational number. Imaginary numbers are neither rational nor irrational. An example of a number that is both Real and irrational is the square root of two. Another example is the number pi.
What is a example of irrational number?
An Irrational Number is a Number that cannot be converted to a Fraction and has an unstoppable amount of numbers after the decimal point. For Example, Pi is the most famous irrational number. If I didn't answer your question, search up Irrational Numbers.
What real number is also irrational?
All real numbers are irrational. For example, Pi is an irrational number that is a real number. Other irrational numbers can be the square root of an imperfect square.
Does an irrational number multiplied by an irrational number equal an irrational number?
The product of two irrational numbers may be rational or irrational. For example, sqrt(2) is irrational, and sqrt(2)*sqrt(2) = 2, a rational number. On the other hand, (2^(1/4)) * (2^(1/4)) = 2^(1/2) = sqrt(2), so here two irrational numbers multiply to give an irrational number.
Can the product of two irrational numbers be a rational number?
yes it can, look at the example √3 times the √3 is 3. these two are rational numbers.
Can the product of any two irrational numbers be a rational number?
Yes. For example, if you multiply the square root of 2 (an irrational number) by itself, the answer is 2 (a rational number). The golden ratio (Phi, approx. 1.618) multiplied by (1/Phi) (both irrational numbers) equals 1 (rational). However, this is not necessarily true for all irrational numbers.
Why are irrational numbers called surds?
Irrational number are NOT called surds. For example, pi is irrational but it is not a surd.Surds are a very small subset of irrational numbers.
Why is the product of two rational number irrational?
The question is nonsense because the product of two rational numbers is never irrational.
