Are the irrational numbers closed under addition?

No, irrational numbers are not closed under addition.

Step-by-step explanation:

The closure property of irrational numbers under addition states that the sum of two irrational number will always be an irrational number.

That is if a and b are two irrational numbers then, their sum a + b should always be irrational.

Irrational numbers are not closed under addition.

This can be explained with the help of an example:

We know that and are two irrational number.

If we consider their sum, then,

But 0 is a rational number.

Hence, irrational number are not closed under addition.

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step-by-step explanation:

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c