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Is a decimal form of an irrational number a repeating decimal?
Not necessarily. Remember that the definition of an irrational number is a number that can't be expressed as a simple fraction. 2/3, for example, is rational by that definition even though its decimal form is a repeating decimal. Since irrational numbers cannot be written as fractions, they don't have fraction forms. So basically, numbers with repeating decimals are considered rational. Irrational numbers don't have repeating decimals.
Why can't irrational number be represented as decimal form?
Any terminating or repeating decimal number can be converted easily into the form of p/q: a ratio of two integers. If it can be written in that form then it is rational.
Is the decimal form of an irrational number a repeating decimal?
An irrational number must not have a repeating sequence. If we have a number, such as 0.333333...., we can turn this into a rational number as such.Let x = 0.333333......, then multiply both sides by 10:10x = 3.333333......Now subtract the first equation from the second, since the 3's go on forever, they will cancel each other out and you're left with:9x = 3. Now divide both sides by 9: x = 3/9 which is 1/3, a rational number equal to 0.3333333....If a number can be expressed as the ratio a/b, where a and b are integers (with the restriction that b not equal zero), then the number is rational. If you cannot express the number as such, then it is irrational.
What is the decimal form of 17 square root?
√17 is irrational (a never repeating, never ending) decimal. √17 ≈ 4.1231
What is the square root of 168 in a decimal form?
It is an irrational number and as a decimal number it has no ending
