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Bas_tet [7]
3 years ago
13

Let a and b be rational numbers. Then by definition

Mathematics
2 answers:
balu736 [363]3 years ago
7 0

Answer:

the product of two rational numbers is a rational number!

Step-by-step explanation:

ohaa [14]3 years ago
6 0

Answer:

The product of two rational numbers is a rational number

Step-by-step explanation:

I'll quickly recap the proof: a rational number is, by definition, the ratio between two integers. So, there exists four integers m,n,p,q such that

a=\dfrac{m}{n},\quad b=\dfrac{p}{q}

If we multiply the fractions, we have

ab = \dfrac{mp}{nq}

Now, mp and nq are multiplication of integers, and thus they are integers themselves. So, ab is also a ratio between integer, and thus rational.

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