Answer:
only q or r can be irrational
Step-by-step explanation:
Rational numbers are numbers that can be expressed in the form a/b, where both a and b are integers and b ≠ 0. The decimal representation of an rational numbers either repeats the sequence of digits over again or terminates at a finite number.
Irrational numbers are numbers that are not rational. The decimal representation of an irrational number does not repeat a sequence of digits over again and never terminates. e.g √2, π.
The product of two irrational numbers is a rational number, the product of two rational numbers is a rational number while the product of a rational and irrational number is an irrational number. Hence since in p*q*r is an irrational number and p is a rational number, If both q and r are irrational then:
q*r = irrational * irrational = rational
p*(q*r) = rational * rational = rational. Since the result is not an irrational number then both q and r cannot be irrational.
But, If either q and r are irrational then:
q*r = irrational * rational = rational * irrational = irrational
p*(q*r) = rational * irrational = irrational. Since the result is an irrational number then only q or r can be irrational
Answer:
1) Both q and r may be rational
2) r may be rational if q is irrational
Step-by-step explanation:
I did the quiz and got it right. Also I watched the video twice. You got this!!!!
