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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.
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Is the decimal form of an irrational number is a repeating decimal?
No.
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
