0
Add your answer:
Earn +20 pts
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 a rational number always greater than the number?
No.
Are all square roots rational numbers?
No. Lots of square roots are not rational. Only the square roots of perfect square numbers are rational. So for example, the square root of 2 is not rational and the square root of 4 is rational.
Is the square root are rational numbers?
Some square roots are rational but the majority are not.
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.
Why the square root of 88 rational numbers?
They are NOT rational numbers, so the question is misguided.
Can you multiply two rational numbers to get an irrational number?
Yes, for example, square root of 2 x square root of 2 = 2.* * * * *No, the product of two rational numbers must always be rational.No.Proof :If you take rational number a/b and multiply by rational c/d you get ac/bd.Since ac and bd are each integral, the product is rational.
Will you always get an irrational number when you multiply two irrational numbers if no provide a counterexample?
The square root of 2 times the square root of 2 is rational.
Is the square root of 81 rational?
Yes. The square root of 81 is 9 - a natural number and all natural numbers are rational numbers.
Are square roots always rational?
No. The square roots of 2, 3 and 5, for a start, are not rational.
Why rational numbers require extension?
Because numbers such as pi, e and the square root of 2 are not rational.
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.
