is sum of two irrationals always an irrational no. ?justify?plzzz plzzz plzzz ineed answer its a h.h.w 3 days left so quick plzz fst
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Answered by
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No nt always
10 + 2√5 and 5 - 2√5
Checking:
Sum of these two irrational numbers = 10 + 2√5 and 5 - 2√5 = 15 (a rational number)
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10 + 2√5 and 5 - 2√5
Checking:
Sum of these two irrational numbers = 10 + 2√5 and 5 - 2√5 = 15 (a rational number)
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shmis2004:
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Answered by
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The sum of two irrational number is not always irrational
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For example
√3 and √2 are irrational numbers
Both are non repeating non terminating
Their sum is √3 + √2 is also irrational
Non terminating non repeating
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But it can be rational
Like 10 + 2√2 + 15- 2√2 = 25( a rational number)
-----------------------------------------------------------------------------------------------------
For example
√3 and √2 are irrational numbers
Both are non repeating non terminating
Their sum is √3 + √2 is also irrational
Non terminating non repeating
----------------------------------------------------------------------------------------------------
But it can be rational
Like 10 + 2√2 + 15- 2√2 = 25( a rational number)
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