The square of any rational number is rational?

Answer 1

Well, isn't that just a happy little fact! You see, when you square a rational number, you're just multiplying it by itself. Since multiplying two rational numbers always gives you another rational number, the square of any rational number will also be rational. Just like painting a beautiful landscape, math can be full of wonderful patterns and harmonious relationships.

Answer 2

A rational number can be expressed as a fraction of two integers. When you square a rational number, you are essentially multiplying it by itself. Since the product of two integers is also an integer, the square of any rational number will also be a rational number. This is because the result can be expressed as a fraction of two integers, making it rational.

Answer 3

Yes - see below. (But the reverse is not true).

p is rational so p = x/y where x and y are integers.

x is an integer so x*x is an integer, and y is an integer so y*y is an integer.

So p2 = (x/y)2 = x2/y2 is a ratio of two integers and so is rational.

Answer 4

6(-3)

Answer 5

Rational number