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is 3.12159..... a real number ?
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No.
Real Numbers don't have Decimals.
so square roots can be a real number?
Can be, can be not.
3.12159 IS a real number "The real numbers are the numbers that can be written in decimal notation, including those that require an infinite decimal expansion. The set of real numbers includes all integers, positive and negative; all fractions; and the irrational numbers, those whose decimal expansions never repeat. Examples of irrational numbers are"
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yes it is a real number. in other words, it is not a complex number which is in the form of a+bi
\[\sqrt{-3.001} or \sqrt{-5}\]
it is real , may be not rational
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