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Johann Heinrich Lambert

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11y ago

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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!


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.


How you prove that -if r is rational and x is irrational then prove that r x and rx are rational?

To prove that if (r) is rational and (x) is irrational, then both (rx) and (\frac{r}{x}) are rational, we can use the fact that the product or quotient of a rational and an irrational number is always irrational. Since (r) is rational and (x) is irrational, their product (rx) must be irrational. Similarly, the quotient (\frac{r}{x}) must also be irrational. Therefore, we cannot prove that both (rx) and (\frac{r}{x}) are rational based on the given information.


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.


Is -0.15 a rational number?

Yes, -0.15 is a rational number. A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not zero. In this case, -0.15 can be expressed as -15/100, which is a ratio of two integers (-15 and 100). Therefore, -0.15 is a rational number.