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Are the product of irrational always is irrational?
No. Sqrt(2)*sqrt(18) = 6.
Is negative 6 an irrational number?
no
What is four irrational numbers closest to 6 on the number line?
Irrational numbers are infinitely dense. Between any two numbers, there are infinitely many irrational numbers. So if it was claimed that some irrational, x, was the closest irrational to 6, it is possible to find an infinite number of irrationals between 6 and x. Each one of these infinite number of irrationals would be closer to 6 than x. So the search for the nearest irrational must fail.
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 the fraction 6 over 7 an irrational?
no it is not irrational irrational is a neverending number like2.36945856235......... that goes on and on 6 over 7 is a rational number rational numbers are whole numbers natural numbers and integers.
