Give an example of 2 irrational numbers whose sum and product both are rational
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Answer:
see below
Step-by-step explanation:
a & b are two irrationals.....
a = 3 + √2
b = 3 - √2
now....
a + b = ( 3 + √2 ) + ( 3 - √2 ) = 6 (rational)
a × b = ( 3 + √2 ) × ( 3 - √2 ) = 3^2 - (√2)^2 = 7 (rational)
and so on.......
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