Every irrational number, when multiplied by 0.4 will produce an irrational number.
Can be rational or irrational.
Any of the numbers which cannot be expressed as a ratio of two integers is irrational.
In between any two rational numbers there is an irrational number. In between any two irrational numbers there is a rational number.
yes
At least one of the factors has to be irrational.* An irrational number times ANY number (except zero) is irrational. * The product of two irrational numbers can be either rational or irrational.
Every irrational number, when multiplied by 0.4 will produce an irrational number.
Not necessarily. The sum of two irrational numbers can be rational or irrational.
The simplest example (of infinitely many) is probably the squareroot of two multiplied by itself equals two. Take any rational number, say 4.177 and divide it with any irrational number, say the square root of 13, and you will get a new irrational number. The product of your two irrational numbers now make a rational 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.
If you multiply two irrational numbers, the result can be rational, or irrational.
yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.
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.
Sometimes yes, sometimes no. sqrt(2) x sqrt(8) = 4 rational sqrt(2) x sqrt(3) = sqrt(6) irrational
Can be rational or irrational.
Any of the numbers which cannot be expressed as a ratio of two integers is irrational.
Pi and the square root of two are irrational numbers.