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Are perfect squares and cubes rational numbers?
Yes. In fact, they are integers.
Why are some of the cubes rational and irrational?
The cubes of all rational numbers will be rational. But the cubes of irrational numbers can be either.
Which numbers have a square and cube root?
Cubes of squares or squares of cubes, like 1, 64 and 729.
Are perfect squares rational numbers?
Yes, they are.
Are perfect squares all rational numbers?
Yes.
Squares and cubes from 1to20?
If you include fractions and decimals, then there are an infinite number of squares and cubes in any range. If you consider only whole numbers, then from 1 to 20: Squares: 1, 4, 9, and 16. Cubes: 1 and 8.
What is a rational numbers whose square roots are whole numbers?
They are perfect squares.
What numbers are squares and cubes of other numbers?
All non-negative numbers (including zero) are real-number squares of other numbers.All numbers (positive, negative, and zero) are cubes of other numbers."Numbers" generally refers to the set of all real numbers. 2 is the square of a real number, √2. √2 is not a whole number. It's not even rational. But it is a real number, and therefore meets the criteria specified. Even pi (π), an irrational number itself, is the square of another real number (√π). The only real numbers that cannot be squares are negative numbers, because squares of negative numbers are always positive, because the product of two negative numbers is always positive. This restriction, however, does not apply to cubes, because if you multiply three negative numbers by each other, the result is negative.Now, for the question you may have meant to ask: "What numbers are squares and cubes of whole numbers (integers)?"It would be impossible to list all squares and cubes of integers, because even when you limit it to integers, there is still an infinite number of numbers, and every one of them has both a square and a cube.Examples of integers, their squares, and their cubes.0, 0, 01, 1, 1(-1, 1, -1)2, 4, 8,(-2, 4, -8)3, 9, 274, 16, 645, 25, 12510, 100, 1000Only a very few numbers, such as 0, 1, and 64, are both squares and cubes of integers. Note that 64 is 43 and also 82. (see the related question)
Rational numbers who square roots are whole numbers?
Every integer is a rational number, and some integers are perfect squares. These are the only rational numbers to have an integral square root.
The sum of two positive numbers is 4 and the sum fo their cubes is 28 What is the sum of their squares?
The sum of their squares is 10.
Is the cube root of 30 rational or irrational?
Cubes of all numbers are irrational numbers, if they're not natural
How many number of squares are on two cubes?
There are 12 squares on 2 cubes
