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:
15 feet squared
Step-by-step explanation:
Area = 6 x 5 x 1/2
Area = 30 x 1/2
Area = 15
<em>Hope that helps!</em>
D. All other choices are wrong
Answer:
C. It can make decision making more efficient.
Step-by-step explanation:
Answer:
115.2 other solutions is 576/5, 115 1/5
Step by step explanation:
To divide by a fraction, multiply by the reciprocal of the fraction
2.4 x (12 x 4)
Then multiply 12 and 4 which is 48
2.4 x 48
Then multiply 2.4 x 48
which is 115.2
