Math, asked by ashutoshgoswami645, 9 months ago

if a and b is rational number then proof that a+b, a-b and ab is rational number. if bis not equal to 0 then proof a/b is rational number​

Answers

Answered by yashwanthyedla2007
0

Step-by-step explanation:

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Answered by Mitraa
2

Addition

1/4 is rational number a

3/4 is rational number b

1/4+3/4=4/4=1

4/4 or 1 is a rational number

Therefore a+b is always a rational number when a and b are rational numbers

Subtraction

3/4 is rational number a

1/4 is rational number b

3/4-1/4=2/4=1/2

2/4 or 1/2 is a rational number

Therefore a-b is always a rational number when a and b are rational numbers

Multiplication

5/7 is rational number a

7/8 is rational number b

5/7*7/8=5/8

5/8 is a rational number

Therefore a*b is always a rational number when a and b are rational numbers

Division

6/7 is rational number a

7/8 is rational number b

6/7 divided by 7/8= 48/49 is also a rational number

Therefore a/b is always a rational number when a and b are rational numbers

Hope it helps

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