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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.).
The square root of 13 is irrational. All square roots of whole numbers are irrational unless the number is a perfect square.
Numbers are either irrational (like the square root of 2 or pi) or rational (can be stated as a fraction using whole numbers). Irrational numbers are never rational.
Actually there are more irrational numbers than rational numbers. Most square roots, cubic roots, etc. are irrational (not rational). For example, the square of any positive integer is either an integer or an irrational number. The numbers e and pi are both irrational. Most expressions that involve those numbers are also irrational.
Yes, the square of any rational number is also a rational number.The square root of 2 is not a rational number.
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.).
Every integer is a rational number, and some integers are perfect squares. These are the only rational numbers to have an integral square root.
Yes. The square root of 81 is 9 - a natural number and all natural numbers are rational numbers.
Only if the square root of the numerator and the square root of the denominator are both rational numbers.
No. The only square roots of integers that are rational numbers only when the integer is a perfect square.
All numbers can make a square. Every real number makes a positive real square. Every rational number makes a rational square. Every integer makes a perfect square.
The discriminant must be a perfect square or a square of a rational number.
The set of rational numbers is a subset of the set of real numbers. That means that every rational number is a real number, but not every real number is rational. The square root of 2 is an example of a real number that isn't rational; that is, it can't be expressed as the quotient of two integers.
There are an infinite number of rational numbers between these two numbers, but the only positive integer between these numbers is 6.
The square roots of 16 are +4 and -4 . They're both rational numbers.
The square root of 61.93 is irrational. Since rational numbers are infinitely dense there cannot be a closest rational.
The square root of 13 is irrational. All square roots of whole numbers are irrational unless the number is a perfect square.