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.
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Answer:
See explanation
Step-by-step explanation:
Zeroe of the function is such velue of x at which f(x)=0.
1. Consider the function 
Zeros are:
Zero 
has multiplicity of 1, zero 
has multiplicity of 2, zero 
has multiplicity of 5.
At or the graph of the function crosses the x-axis, at the graph of the function touches the x-axis.
2. Consider the function 
Zeros are:
Zero has multiplicity of 1, zero 
has multiplicity of 2.
At the graph of the function crosses the x-axis, at the graph of the function touches the x-axis.
Answer:
41.04
Step-by-step explanation:
thats the answer on khan academy :3 i hope this helps
Step-by-step explanation:
hablá normal no és chino
