Question 31468This question is from textbook
: The arithmetic mean of two numbers x and y is the unmber x+y/2. If x and y are rational numbers, what can you conclude about their arithmetc mean?
The geometric mean of two positive number x and y is the number squared xy. If x and y are positive rational numbers, can you conclude that their geometric mean is also rational? Explain
This question is from textbook
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The arithmetic mean of two numbers x and y is the unmber x+y/2.
NO..IT IS (X+Y)/2........................
If x and y are rational numbers, what can you conclude about their arithmetc mean?
A.M. WILL ALSO BE RATIONAL AS SUM OF 2 RATIONAL NUMBERS IS RATIONAL AND THEIR DIVISION BY 2 WILL NOT CHANGE THEIR NATURE.
The geometric mean of two positive number x and y is the number squared xy.
NO..IT IS SQUARE ROOT OF THEIR PRODUCT (XY) = (X*Y)^0.5
If x and y are positive rational numbers, can you conclude that their geometric mean is also rational? Explain
NO.SINCE THIS INVOLVES SQUARE ROOT,IT COULD BE IRRATIONAL .SUPPOSE X=2 AND Y=1...THEIR G.M. IS SQRT.(2*1)=SQRT.(2)WHICH IS IRRATIONAL
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