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13y ago

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Are real numbers closed under addition and subtraction?

Real numbers are closed under addition and subtraction. To get a number outside the real number system you would have to use square root.


All the square numbers under 42 and obove 29?

The only whole number square between 29 and 42 is 36 .


Can you square any number?

That depends what set of numbers you are thinking of; but in the case of the sets commonly used - integers, rational numbers, real numbers, complex numbers - such sets are closed under multiplication, meaning that you can multiply any number in the set by any number in the set, so there is nothing to stop you multiplying such a number by itself.


What is the largest prime number that has a square root that is less than 20?

Prime numbers can't have whole number square roots, of course, but the largest prime number under 400 is 397.


How many square numbers are under 30?

There are 5 square numbers under 30: 1, 4, 9, 16, and 25.


Are real numbers closed under the square root operation?

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


Are irrational addition numbers closed under the closure property?

No. For example, the square root of two plus (minus the square root of two) = 0, which is not an irrational number.


How many odd square numbers are there under 10000?

The nearest number whose square ≤ 10000 is 100. Then the greatest odd number less that 100 is 99 so there are 50 odd numbers in the range 1- 99 inclusive whose squares are less than 10000.


Why are all the perfect squares are rational number?

A perfect square is a square of an integer.The set of integers is closed under multiplication. That means that the product of any two integer is an integer. Therefore the square of an integer is an integer.Integers are rational numbers so the square [which is an integer] is a rational number.


Simplifying square root numbers?

If the number under the radical sign has a factor which is a square number greater than 1, then the square root of that number can be taken outside the radical.For example,sqrt(75) = sqrt(25*3) = sqrt(25)*sqrt(3) = 5*sqrt(3).


Under what circumstances would the domain be something other than all real numbers?

It would be an imaginary number (one that cannot exist). For example the square root of a negative number.


What is the value of 'n' for which under root 'n' be a rational number is?

Oh, what a lovely question! You see, for the square root of 'n' to be a rational number, 'n' must be a perfect square. When 'n' is a perfect square, the square root of 'n' will be a whole number, which is a rational number. Just like painting happy little trees, mathematics can be a beautiful and harmonious world when we understand its patterns and shapes.