Question

If a and b are 2 rational numbers,prove that a+b,a-b,ab are rational.If,b is not equal to zero,show that a/b is also rational.​

Answer 1

Answer:

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Step-by-step explanation:

*GIVEN :-- A & B ARE RATIONAL NUMBER..

LET ASSUME A ==> 5.

LET ASSUME B ==> 2

$(a + b) = (5 + 2) = 7 ----> which \: is \: a \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: rational \: number.$

$(a - b) = (5 - 2) = 3 ---- > which \: a \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: rational \: number.$

$a \: \times b = 5 \times 2 = 10 - - - > which \: is \: a \: rational \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: number.$

$\frac{a}{b} = \frac{5}{2} \: this \: fraction \: is \: in \: the \: form \: of \: \frac{p}{q} \: and \: b \: is \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: not \: equal \: to \: zero.$

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Answer 2

Answer:

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