No. If the rational number is not zero, then such a product is irrational.
Not necessarily. 0 times any irrational number is 0 - which is rational.
The product of 0 and an irrational is 0 (a rational), the product of a non-zero rational and any irrational is always irrational.
Can be irrational or rational.1 [rational] * sqrt(2) [irrational] = sqrt(2) [irrational]0 [rational] * sqrt(2) [irrational] = 0 [rational]
It the radius is r then the area is pi*r*r - which is pi times a rational number. pi is an irrational number, so the multiple of pi and a rational number is irrational.
Actually the product of a nonzero rational number and another rational number will always be rational.The product of a nonzero rational number and an IRrational number will always be irrational. (You have to include the "nonzero" caveat because zero times an irrational number is zero, which is rational)
No.A rational times an irrational is never rational. It is always irrational.
75 times 75 = 5625 which is a rational number
Well, (pi) x (1/pi) = 1 .
No; since pi is irrational if you multiply it by a rational number it is still irrational
No because 15 times pi is an irrational number
3 times pi is an irrational number because it can't be expressed as a fraction
Not always. For example sqrt(2) and 1/sqrt(2) are both irrational, but their product is the rational number 1.
Any number times pi is irrational.
Surds are irrational numbers and 27 is a rational number but if you mean the square root of 27 then it is an irrational number and expressed as a surd it is 3 times square root of 3.
It is not. It is the rational number 6.28 = 628/100.
If you mean 0.3 times pi then it is an irrational number
No because it is 2 times the square root of 21 which is an irrational numberThe square root of 84 is not a rational number
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.
4 rational because 4 times 4 is 16 and there is nothing to start a pattern, its a plain number so its rational, irrational would be a number with no pattern like 18.86743038434953949345..., another rational is like 18.3333333... or 18.123123123123123123123123123..., or 95.8989898989898989..., because they have patterns.
A decimal, in this context, is a useless description: a decimal can be an integer, a rational number or an irrational number. Furthermore, a whole number times a decimal fraction can be a whole number, a rational number or an irrational number.For example:4 * 3.5 = 14 is a whole number times a decimal fraction = whole number.4 * 3.3 = 13.2 is a whole number times a decimal fraction = rational fraction.4 * 3.14159... [ie pi in decimal form] = 4 * pi, which is an irrational number.
I assume you mean 2 times pi. Since pi is irrational, 2 pi is also irrational.
No because the value of pi as regards to a circle is an irrational number
yes it can, look at the example √3 times the √3 is 3. these two are rational numbers.
The square root of 2 times the square root of 2 is rational.