Question

Which of the following statements is false?

A. The sum of two rational numbers is always rational.
B. The sum of a rational number and an irrational number is always rational.
C. The product of a nonzero rational number and an irrational number is always irrational.
D. The product of two irrational numbers is either rational or irrational.

Answer 1

do you know any irrational numbers?

Answer 2

pie

Answer 3

3.14

Answer 4

not 3.14 (that is only an approximation)
pi (and all irrational numbers) goes on forever, without any pattern to the digits
see http://www.piday.org/million/

a rational number is any whole number or fraction of whole number divided by whole number

for example 1/1 or just 1 is a very simple rational number
if you add
1+pi
is that sum rational or irrational ?
hint: do all of the decimals of pi disappear if we add 1 to pi ?

Answer 5

oh so would it be B

Answer 6

yes B is false
adding rational + irrational will be irrational

Answer 7

thank you so much u r the best