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Johann Heinrich Lambert

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Q: Who was the first person to prove that pi was not a rational number?
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Who was t he first person to prove that pi is not a rational number?

Johann Heinrich Lambert


Who was the 1st person to prove that pi is not a rational number?

Johann Lambert


Which number can be multiplied to a rational number to explain that the product of two rational numbers is rational?

It must be a generalised rational number. Otherwise, if you select a rational number to multiply, then you will only prove it for that number.


Does there exist an irrational number such that its square root is rational?

No, and I can prove it: -- The product of two rational numbers is always a rational number. -- If the two numbers happen to be the same number, then it's the square root of their product. -- Remember ... the product of two rational numbers is always a rational number. -- So the square of a rational number is always a rational number. -- So the square root of an irrational number can't be a rational number (because its square would be rational etc.).


Is 11 squared rational or irrational?

It's the ratio of 121 to 1, so it's rational. I think the square of any rational number is a rational number. In fact, I'm sure of it, because I know how I could prove it.


Are all rational numbers whole numbers prove your answer?

No, they are not. 1/2 is a ratio of two integers and so it is rational. But it is not a whole number.


What fractional form of 9.546 to prove that it is a rational number?

9.546 as an improper fraction in its simplest form is 4773/500 which proves that it is a rational number


How can you determine if a number is rational?

If the number can be expressed as a ratio of two integer (the second not zero) then the number is rational. However, it is not always a simple matter to prove that if you cannot find such a representation, then the number is not rational: it is possible that you have not looked hard enough!


How can you prove that 6.34 is a rational number?

(A): 6.34*100 = 634 so 6.34 = 634/100 a ratio of two integers and so a rational number. (B): 6.34 is a terminating decimal - with two non-zero digits after the decimal point. So again, it is a rational number.


Who is the first person to prove that lightning is a form of electricity?

Benjamin Franklin was the first person to prove that lightning is a form of electricity.


Is 0.131313 a rational number?

0.13131313 is a rational number, as it's a recurring number, and all recurring numbers are rational. To prove this, you first multiply by 10 until the decimal part of the number is the same. In this case, 0.13131313...x100=13.13131313.... Then you take off the original number 0.131313...x100 - 0.131313... = 13 Now you can simplify the left hand side 0.131313...x99=13 And divide both sides by 99, to get 0.131313....=13/99 So the original number can be expressed as 13/99, proving it's rational.


How do you prove 1.6 is a rational number?

1.6 = 16/10.This is a ratio in which both the numerator (16) and denominator (10) are integers. The ratio, therefore, represents a rational number.