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There are different methods for estimating Irrational Numbers. For numbers like pi or e, there are infinite series which can be used to calculate their value to the required degree of accuracy. There are numerical methods - such as the Newton-Raphson iteration - for estimating roots of numbers.
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Which point on the number line shows the best estimate of the irrational number 57?
None, since 57 is NOT an irrational number.
What is the exact value of cos 70 degrees?
The exact value is an irrational number, and can't be written on paper with digits.0.34202 is less than 0.000042 percent wrong.Cos(70 deg) is an irrational number and it is impossible to give its exact value.
What is the decimal expansion of an irrational no. is?
It is the decimal approximation to the value of the irrational number.
Is a repeating decimal multiplied by a variab an irrational number?
No, the product is a variable and whether or not it is irrational will depend on the value of the variable.
When do you need to approximate an irrational number with a rational value?
If the simplified form of an expression contains an irrational number and a numerical evaluation is required then it is necessary to use a rational approximation.
