PLEASE HELP THANK YOU SO MUCH Consider the statement. The sum of two irrational numbers is always an irrational number.

Is the statement true or false? Justify your answer.

true; Irrational numbers are closed under addition: + 27 = 37.

false; Only division results in irrational numbers. All other operations on real numbers give rational numbers.

true; The sum of two irrational numbers is a rational number, which is also an irrational number since all rational numbers are also irrational

numbers.

false; Irrational numbers are not closed under addition: V14 + (-14) = 0.

False.

Step-by-step explanation:

The statement is:

"The sum of two irrational numbers is always an irrational number."

We know that √2 is an irrational number.

Then the opposite number, (-1)*√2 is also an irrational number.

Then we can sum two irrational numbers like:

√2 + (-√2) = 0

and 0 is a rational number.

Then we have found a counter-example, which means that the statement is false.

for finding the midpoint of any given 2 pair of points simply add the respective x coordinates with other x coordinate and the y coordinate with other y coordinate and divide them by 2

in your question it will be :

(3+1)/2 for the x coordinate of mid point i.e 2

[8+(-4)]/2 for the y coordinate of midpoint i.e 2

so coordinates of mid point of points (3,8) and (1,-4) will be (2,2)

answer: c i think

step-by-step explanation: