Give an example to show that-
(i) Sum of two irrational may be rational
(ii) Product of two irrational may be rational
Answers
Answered by
1
Answer:
Sometimes yes. There might be other possibilities for some functions on irrationals and there might even be a general rule for this of which the case below is only a special case
PROVE that for any irrational another co-irrational can be constructed so that their sum is rational
PROOF
1 - Express the irrational in decimal form eg
sqrt (7) = 2.64575131…..
2 - Using only the mantissa, the part after the decimal point, which expresses the irrationality
ie .64575131…
construct a 9’s complement for each digit as follows
ie. .35424868…
Answered by
1
Answer:
1) 3+√2 and 3−√2 is a rational number. ... Therefore, it is proved that the sum of the two given irrational numbers is a rational number.
Step-by-step explanation:
2)Take a = (2+ √3) and b =(2 - √3 ); a and b are irrational numbers, but their product = 4-3 = 1, is a rational number. Take c = √3 and d = -√3; c and d are irrational numbers.
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