Sum/difference:
Let
This means that
Now, assume that 
is rational. The sum/difference of two rational numbers is still rational (so 5-x is rational), and the division by 3 doesn't change this. So, you have that the square root of 8 equals a rational number, which is false. The mistake must have been supposing that was rational, which proves that the sum/difference of the two given terms was irrational
Multiplication/division:
The logic is actually the same: if we multiply the two terms we get
if again we assume x to be rational, we have
But if x is rational, so is -x/15, and again we come to a contradiction: we have the square root of 8 on one side, which is irrational, and -x/15 on the other, which is rational. So, again, x must have been irrational. You can prove the same claim for the division in a totally similar fashion.
Answer:
This will be letter j). 1,767.1 in 3
Step-by-step explanation:this is the closest estimate to the cubic inch plz brainliest
Answer:
Step-by-step explanation:
Given the function
We can find the inverse function by exchanging x and y, and then solve for y.
Replace x with y.
square both sides
Hence,
The lowest common multiple of 7 and 5 is 35, so you divide 365 by 35, the whole number is your answer,
the answer is 10
