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what is the square root of 34? and -4/11? which set of numbers do they belong? whole number, integer natural number irrational or rational?

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The square root of 34 is just sqrt(34), or if you're looking for a rounded decimal answer, about 5.83. The square root of -4/11:
[tex] \sqrt{ \frac{-4}{11} } \\ = \sqrt{ \frac{-1 * 4}{11} } \\ = \frac{2i}{ \sqrt{11} } \\ = \frac{2i\sqrt{11}}{11} [/tex]
The square root of 34 is an irrational number. The square root of -4/11 is an imaginary number, or nonreal complex number.
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