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Is the square root of 2 imaginary?
No, but it is irrational, because there is no rational number whose square is two. Imaginary numbers are the square roots of negative numbers.
What is a rational number whose square root is a whole number?
If the square root is a whole number, then the square of the square root, the original number, is also a whole number; all whole numbers can be expressed as themselves over 1, and so are rational numbers. The answer is thus any square number, ie the square of the natural numbers: 1 (1²), 4 (2²), 9 (3²), 16 (4²), etc.
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.
What are all the square numbers and prime numbers that add up to a prime number?
There are an infinite number of square numbers and prime numbers whose sums are a prime number. Examples are 202 + 103 = 503, 22 + 13 = 17, 102 + 601 = 701, 22 + 163 = 167, 42 + 141 = 157, etc.
What does perfect square root mean?
A perfect square number is a number, whose square root is an integer. Examples are 1, 4, 9, 16, 25, .... The square roots of these numbers are {1,2,3,4,5,...} and {-1,-2,-3,-4,-5,...}
Can there be two numbers whose square is same?
No, because the square of a number is that number times itself, so a no two numbers will have the same square.
Is the square root of 2 imaginary?
No, but it is irrational, because there is no rational number whose square is two. Imaginary numbers are the square roots of negative numbers.
A number whose positive square root is whole is a whole number?
Examples of such numbers are 49, where sqrt(49) = 7, 81, where sqrt(81) = 9. Such numbers are called square numbers.
What is the largest 3 digit prime number whose square root is a prime number?
There is no three digit prime number whose square root is a prime number. Prime numbers have no factors other than 1 and themselves. Any number having a prime number as a square root is a composite number.
What is a rational number whose square root is a whole number?
If the square root is a whole number, then the square of the square root, the original number, is also a whole number; all whole numbers can be expressed as themselves over 1, and so are rational numbers. The answer is thus any square number, ie the square of the natural numbers: 1 (1²), 4 (2²), 9 (3²), 16 (4²), etc.
What is A number whose square roots are integers or quotients of integers?
They are squares of rational numbers. there is no particular name for them.
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.
What are rational numbers whose square roots are whole numbers called?
Rational numbers whose square roots are whole numbers are themselves whole numbers. They are called square numbers, e.g. 1, 4, 9, 16, 25 and so on.
What are all the square numbers and prime numbers that add up to a prime number?
There are an infinite number of square numbers and prime numbers whose sums are a prime number. Examples are 202 + 103 = 503, 22 + 13 = 17, 102 + 601 = 701, 22 + 163 = 167, 42 + 141 = 157, etc.
What is a rational numbers whose square roots are whole numbers?
They are perfect squares.
What does perfect square root mean?
A perfect square number is a number, whose square root is an integer. Examples are 1, 4, 9, 16, 25, .... The square roots of these numbers are {1,2,3,4,5,...} and {-1,-2,-3,-4,-5,...}
What is a set of square numbers?
There is just one set of square numbers; it is the set of all numbers which are squares of whole numbers:- i.e 1, 4, 9, 16, 25, 36, 49, ... and so on up to infinity in other words, it's the set of all numbers whose square root is a whole number.
