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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 product of two irrational numbers always an irrational number?
No. The square root of two is an irrational number. If you multiply the square root of two by the square root of two, you get two which is a rational number.
Is the square root of 1.44 a rational or irrational?
The square root of 1.44 is 1.2 which is a rational number
Is the square root of 4.1 a rational or irrational number?
[ square root of (4.1) ] is irrational. But [ square root of (4) ] is rational.
Is the square root of 13 irrational or rational?
The square root of 13 is irrational. All square roots of whole numbers are irrational unless the number is a perfect square.
