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# Who was the first person to prove that pi was not a rational number?

Updated: 12/13/2022

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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

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.

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 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.

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

You cannot, because the statements are false! (The second is rational only if r = 0).

### 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.