answersLogoWhite

0

Suppose x = sqrt(3*a) where a is an integer that is not divisible by 3.

then x2 = 3*a which is divisible by 3.

but x is not even rational and so is not an integer and is certainly not divisible by 3.

User Avatar

Wiki User

10y ago

What else can I help you with?

Related Questions

Do Prove that the product of an integer and arbitrary integer is even?

The statement is not true. Disprove by counter-example: 3 is an integer and 5 is an integer, their product is 15 which is odd.


If x is an integer divisible by 3 then is x2 divisible by 3?

Yes, if x is an integer divisible by 3, then x^2 is also divisible by 3. This is because for any integer x, x^2 will also be divisible by 3 if x is divisible by 3. This can be proven using the property that the square of any integer divisible by 3 will also be divisible by 3.


Is 125 divisible 15?

Yes, but you wont get an integer. 120 and 135 are divisible to an integer.


What is an integer that is divisible by two?

An even integer


What is the converse If an integer is even then its square is divisible by 4?

If an integer's square is divisible by four, then it is even.


A number divisible by 5 is divisible by 10?

No, not always. For example: 55 divided by 5 is 11. 55 divided by 10 is 5.5. It will divide, but not to an integer.


how can the following definition be written correctly as a biconditional statementAn odd integer is an integer that is not divisible by two.?

An integer is odd if and only if it is not divisible by two.


Is 15345 divisible by 1?

When you divide a number by 1, it remains the same. A number is considered divisible is the resulting answer is an integer with no remainder left over. Thus, if the starting number is an integer, it will be divisible by 1. 15345 is an integer, and thus is divisible by 1.


What does divisible meabn?

For an integer x to be evenly divisible by another integer y, x/y must also be an integer. Here are some examples: 4/2=2. 15/3=5. 18/6=3. From these examples, you can see that 4 is divisible by 2, 15 is divisible by 3, and 18 is divisible by 6. When two numbers are not evenly divisible by each other, you end up with a remainder, or fractional/decimal answer. Here is an example: 25/2 =12.5


What is the least positive integer that is divisible by 111?

111 is the least positive integer divisible by 111 without remainder.


What are the integer palindromes between 1000 and 9000 divisible by 20?

There are no integer palindromes between 1,000 and 9,000 that are divisible by 20.


Least common integer divisible by 1-9?

10