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The square root of 10 is an irrational number, because it continues endlessly and without pattern in decimal form.

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Q: The square root of 10 beongs to what family of real numbers?
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Related questions

Square root of 6 belongs to what family of real numbers?

irrational


Square root of 9 belongs to what family of real numbers?

Integer, Real, whole, and natural. I may have skipped a few.


Are real numbers closed under the square root operation?

No. Negative numbers are real but their square roots are not.


The square root of 6 belongs to what family of real numbers?

Irrational: it cannot be written exactly in the decimal notation.


What family of real numbers does the square root of 10 belong to?

Among other things, it belongs to the following sets: positive numbers; irrational numbers; algebraic numbers.


-30 belongs to what family of the real numbers?

Negative integers, rationals and real numbers


What are the component of real numbers?

Real Numbers cannot be the square root of a negative number. Real Numbers are not divided by zero. Basically, Real Numbers cannot be anything that is undefined.


What is the family of real numbers?

12345678910


What does I mean in square root -1?

The square of any real number is non-negative. For example (-3)2 = +9 So, no real number can have a negative square root. Occasionally, though, mathematicians come across the need to find the square root of a negative number (for example in solving some quadratic equations). So they invented a family of numbers called imaginary numbers and the i (lower case) stands for the imaginary square root of -1. Apart from having a negative square, they are just like "ordinary" real numbers.


Is the square root of any real number always a real number?

No, it is not, because real numbers include negative numbers. The square root of a negative number is an imaginary number


What are non examples of real numbers?

The square roots of negative numbers.


What real number is also irrational?

All real numbers are irrational. For example, Pi is an irrational number that is a real number. Other irrational numbers can be the square root of an imperfect square.