If you want to use a rational number for a mathematical operation, it will be necessary to estimate it for a numerical outcome. Irrational numbers can't be written out exactly.
How an irrational number is estimated depends on the nature of the number. The reason for estimating them is that two of the most important numbers in mathematics: pi in geometry and e in calculus, are both irrational. Also, the diagonal of a unit square is of length sqrt(2), an irrational. Irrational numbers crop up everywhere: there are more irrational numbers than there are rational.
An irrational number.
The same way that you would for a rational number that is not a perfect square.
When added to a rational number, any irrational number will produce an irrational number.also, when added to an irrational number, any rational number will produce an irrational number.
If you want to use a rational number for a mathematical operation, it will be necessary to estimate it for a numerical outcome. Irrational numbers can't be written out exactly.
The number of s.f or rounding off
None, since 57 is NOT an irrational number.
How an irrational number is estimated depends on the nature of the number. The reason for estimating them is that two of the most important numbers in mathematics: pi in geometry and e in calculus, are both irrational. Also, the diagonal of a unit square is of length sqrt(2), an irrational. Irrational numbers crop up everywhere: there are more irrational numbers than there are rational.
An irrational number.
No. The sum of an irrational number and any other [real] number is irrational.
The sum of a rational and irrational number must be an irrational number.
The same way that you would for a rational number that is not a perfect square.
No, 3.56 is not an irrational number. 3.56 is rational.
rational * irrational = irrational.
-Pi is irrational, because it does not terminate or repeat. Whenever you multiply an irrational number by a rational number (-1), the result is an irrational number.
A negative irrational number can be thought of as an irrational number multiplied by -1, or an irrational number with a minus sign in front of it.