Yes.
Yes. Any terminating decimal is a rational number. Any repeating decimal also.
Basically a perfect square is a number like 81 or 100. When these numbers are square rooted, they equal whole numbers like 9 or 10. An imperfect square is a number that when is square rooted equals and repeating decimal, like 29 when square rooted equals 5.385164807134504... (Note: Both even and odd number can be imperfect or perfect squares.)
For a number to be a perfect square, the number's square root has to be a whole number. 9 is a perfect square because its square root is a whole number, 3. If the square root of the number is a decimal, then it is not a perfect square. For example, 13 does not divide evenly so it not a perfect square.
No, it is not.
No, 125 is not a repeating decimal. A repeating decimal is a decimal number that has a repeating pattern of digits after the decimal point. In the case of 125, it is a whole number and does not have any decimal places or repeating patterns. It can be written as 125.0000, but it is still a non-repeating decimal.
The square root of 257 is an irrational number, as it cannot be expressed as a fraction or whole number. It is a non-repeating, non-terminating decimal.
A decimal number is like a mixed fraction: it has an integer part and a fractional part. If the fractional part is a repeating fraction then the whole number is represented by a repeating decimal.
Yes.
If it ends in a decimal, then it must be a whole number. Repeating could be ruled out immediately because even though theoretically it could be a thought of as a repeating decimal with infinite zeros repeating, adding zeros doesn't change the quantity and you could in theory add infinite zeros to the end of ANY decimal. That does not make it repeating.
No, it's a decimal number. 1,4142135623730950488016887242097
Simply because the solution to your sum produces a repeating decimal. Just as 22/7 (The value of Pi as a fraction) produces the repeating decimal 3.142857
Yes. Any terminating decimal is a rational number. Any repeating decimal also.
Basically a perfect square is a number like 81 or 100. When these numbers are square rooted, they equal whole numbers like 9 or 10. An imperfect square is a number that when is square rooted equals and repeating decimal, like 29 when square rooted equals 5.385164807134504... (Note: Both even and odd number can be imperfect or perfect squares.)
No, it does not; it could be a fraction (or, what amounts to the same thing, a repeating decimal), a negative number (in fact every strictly positive number has 2 square roots, one positive, one negative, such as the square roots of 25 are 5 and -5), an irrational number (like the square root of 2), or an imaginary number (like the square root of -49).
The number 2002 is not square. For a number to be square, its square root must be a whole number (nothing to the right of the decimal). The square root of 2002 is 44.74371464...
No. A natural number is a whole number, that is, no digits after the decimal point. Calculate the square root of 12 on a calculator, and you will see that it is not a whole number.