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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.
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.
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.
6(-3)
Rational number
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Is the square of 2 rational number?
Yes, the square of any rational number is also a rational number.The square root of 2 is not a rational number.
Is the square root of 4 irrational or rational?
It is rational. The root of a perfect square, such as 4, is rational; the root of any positive integer that is not a perfect square is an irrational number.
Is every rational number a perfect square?
No. Though every perfect square is a rational number, not every rational number is a perfect square. Example: 2 is a rational number but sqrt(2) is not rational, so 2 is not a perfect square.
Does there exist an irrational number such that its square root is rational?
No, and I can prove it: -- The product of two rational numbers is always a rational number. -- If the two numbers happen to be the same number, then it's the square root of their product. -- Remember ... the product of two rational numbers is always a rational number. -- So the square of a rational number is always a rational number. -- So the square root of an irrational number can't be a rational number (because its square would be rational etc.).
Is the square of 81 a rational number?
The square root of 81 is 9 which is a rational number
Is the square of 2 rational number?
Yes, the square of any rational number is also a rational number.The square root of 2 is not a rational number.
Is the square root of 4 irrational or rational?
It is rational. The root of a perfect square, such as 4, is rational; the root of any positive integer that is not a perfect square is an irrational number.
Is 2 squared rational or irrational?
The square of any rational number is also rational.
IS 0.4 squared an irrational number?
The square of any rational number is also rational.
Are the square roots of all positive integers irrational If not give an example of the square root of a number that is a rational number?
The square root of any positive square number is always rational as for example the square root of 36 is 6 which is a rational number.
Is the square root 1 over square root 4 irrational rational?
Yes because any number that can be expressed as a fraction is a rational number and the answer in the question is 1/2 which is rational
Is the square root of 133 irrational or rational explain?
It is irrational. 133 = 7*17 and so is not the square of any rational number. Therefore its square root cannot be rational.
Is every rational number a perfect square?
No. Though every perfect square is a rational number, not every rational number is a perfect square. Example: 2 is a rational number but sqrt(2) is not rational, so 2 is not a perfect square.
Is the square root of 29 a rational or an irrational number?
The square root of 29 is an irrational number.
Does there exist an irrational number such that its square root is rational?
No, and I can prove it: -- The product of two rational numbers is always a rational number. -- If the two numbers happen to be the same number, then it's the square root of their product. -- Remember ... the product of two rational numbers is always a rational number. -- So the square of a rational number is always a rational number. -- So the square root of an irrational number can't be a rational number (because its square would be rational etc.).
Is the square root of 0.0125 a rational number?
a rational number is any number that can be expressed as the quotient or fraction a/b of two integers,yes
What is square of a rational number?
Another rational number
