Math, asked by kumarranjeetray270, 4 months ago

prove that R×R- define by ab=a+2b is not associative

Answers

Answered by unnimaya48

Answer:

I dont know,.............

kumarranjeetray270: why

krushika1104: because if the associativity holds true then it should be true for any 3 real numbers. but since I have 3 numbers which do not satisfy this condition, so I can disprove it using a counter example.

krushika1104: isn't it funny ... that this is the brainliest answer

Answered by krushika1104

Step-by-step explanation:

Let consider 3 numbers 2,3 and 4

to check whether (2*3)*4 is equal to 2*(3*4)

so LHS= (2*3)*4=(2+6)*4=8*4=8+8=16

and

RHS=2*(3*4)=2*(3+8)=2*11=2+22=24

since LHS is not equal to RHS .so associativity doesn't hold.

chpraveen: thanks for following me

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prove that *R×R- define by a*b=a+2b is not associative​

Answers

prove that R×R- define by ab=a+2b is not associative