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mario62 [17]
4 years ago
6

What type of number cannot be written as a fraction p and q where p and q are interfere and q is not equal to zero?

Mathematics
1 answer:
Sunny_sXe [5.5K]4 years ago
4 0

The definition of a rational number is that it can be written in form \frac{p}{q}. If it cannot be written in that form then it is not a rational number (which makes it an irrational number)

Answer: irrational number

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How to go from sum of products to product of sums?
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(a′+b+d′) (a′+b+c′+f′) = a′ (a′+b+c′+f′) + b (a′+b+c′+f′) + d′ (a′+b+c′+f′)

 

And then you can then distribute again each of the factors on the right.

Then you should simplify in any given number of ways. To take as an example, you have a′b and ba′, and since a′b + a′b = a′b + a′b = a′b, you can just drop one of them. Since bb = b, you can rewrite bb as b and etc.

 

So in the end part we should arrive at a sum of products. Then you can just invert. For example, if at the end you had:

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Then we would have

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Then applying De Morgan's laws to each of the factors, e.g., (a′b)′ = a+b′, so we would have

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