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Sloan [31]
3 years ago
9

If the sumof two numbers,n and m,is rational,which statement is true?

Mathematics
1 answer:
Nataly_w [17]3 years ago
5 0

Option B:

Both n and m must be rational.

Solution:

Given information:

Sum of two numbers, n and m are rational.

<u>To find which statements are true:</u>

Option A: Both n and m may be rational but do not have to be.

It is not true because n and m given is rational.

It have to be rational.

Option B: Both n and m must be rational.

Yes, n and m must be rational then only the sum of numbers are rational.

It is true.

Option C: Both n and m must be irrational.

Sum of irrationals will be sometimes irrational and sometimes can't add.

So it is not true.

Option D: One number is rational and the other is irrational.

Rational and irrational cannot be add.

So it is not true.

Option B is true.

Both n and m must be rational.

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