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Not necessarily. The square root of 2.56 equals 1.6, and the square root of 0.25 equals 0.5, for two examples. If the decimal represents a rational number that is a fraction of two perfect squares, then the square root will be a rational number. The two examples I gave were 2.56 = 256/100, and 0.25 = 1/4.
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Earn +20 ptsQ: Is the square root of a decimal always an irrational number?
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Continue Learning about Other Math
Is the square root of 72 a rational or irrational number?
The square root of 72 is an irrational number. Since 72 is not a perfect square, the decimal is endless. (just like the value of pi)
Is 7.1234 is a rational number?
Yes.
Is the product of two irrational numbers always an irrational number?
No. The square root of two is an irrational number. If you multiply the square root of two by the square root of two, you get two which is a rational number.
Does square root of 13 divided by 625 have a terminating decimal or a non-terminating decimal?
-612
What Square root of 12.08?
It is an irrational number and it is about 3.4746 rounded to 4 decimal places
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