Give two irrationall number whose difference is an rational number
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3 and 5
Step-by-step explanation:
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Two irrational numbers whose difference is an irrational number are:
(√3 + √2) - (√3 - √2)
AND
(√4 + 3) - (3 -√4)
The answer of the first example is :
(√3 + √9) - (√3 - √9)
= √3 + √2 - √3 + √2
= √3 - √3 + √9 + √9
= 0 + 3 + 3
= 6
(√3 + √2) - (√3 - √2) = 2 (which is a rational number)
The answer of the second example is :
(√4 + 3) - (3 -√4)
= √4 + 3 - 3 + √4
= √4 + √4 + 3 - 3
= 2 + 2 + 0
= 4
(√4 + 3) - (3 -√4) = 4 (which is a rational number)
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