Rational numbers are numbers that can be expressed as a fraction (ratio). Irrational numbers can not be expressed like that (like sqrt(2)).
To prove your statement, assume the opposite until you have a contradiction.
If the result of adding them would be rational, then your irrational number can be expressed as the difference of two rational numbers, which itself is also a rational number. That cannot be, because it should be an irrational number. This contradiction forces that rational + irrational = irrational.
You can reason the same way for multiplication. Suppose rational * irrational = rational, you find that your irrational can be expressed as the fration of two rationals, which is a contradiction.
Answer:
-32
Step-by-step explanation:
a = -4
x = 4
7(-4) - (4)
-28 - 4
-32
Answer:
does it have answer choise
Step-by-step explanation:
To find the value of "x", you need to isolate/get the variable "x" by itself in the equation:
4x - 1 = 6 Add 1 on both sides
4x - 1 + 1 = 6 + 1
4x = 7 Divide 4 on both sides to get "x" by itself
Now that you know the value of x, you can find 24x:
24x Substitute/plug in 7/4 into "x" since x = 7/4
42