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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 square root of two fifths rational or irrational?
the square root of 2 fifths of irrational is 0.565685425
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 a decimal always an irrational number?
Not necessarily. The square root of 2.56 equals 1.6, and the square root of 0.25 equals 0.5, for two examples. If the decimal represents a rational number that is a fraction of two perfect squares, then the square root will be a rational number. The two examples I gave were 2.56 = 256/100, and 0.25 = 1/4.
The difference of two irrational numbers is an irrattinal number?
The sum, or difference, of two irrational numbers can be rational, or irrational. For example, if A = square root of 2 and B = square root of 3, both the sum and difference are irrational. If A = (1 + square root of 2), and B = square root of 2, then, while both are irrational, the difference (equal to 1) is rational.
Can a square root be rational?
yes, one such is the square root of four, which is two
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 432.8 rational?
The square root of 432.8 is 20.80384579831335. This is not a rational number.
Is the square root of two fifths rational or irrational?
the square root of 2 fifths of irrational is 0.565685425
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 two and example of a rational number?
Yes
What is an example of a rational number between the negative square root of four and the square root of four?
-1,0,or 1 the negative square root of four is negative two and the square root of four is two
How do you find two rational numbers between square root of 2 and square root of 3?
i hace no idea
Is the square root of 9 rational or irrational?
The square root of 9 is a rational number. This is because the square root of 9 is equal to 3, which can be expressed as a fraction, 3/1. In general, a rational number is any number that can be expressed as a ratio of two integers, which is the case for the square root of 9.
Is -700 rational?
Yes, numbers fall into two categories rational and irrational. Rational: Fractions Terminating Decimals Integers Irrational: Pi The square root of 2 The square root of 3 Infinity
Is the square root of 289 a rational number?
Yes. Sort of. Actually, a positive square root has two distinct solutions, Therefore, sqrt(289) is technically two rational numbers, 17 and -17.
Is the square root of a decimal always an irrational number?
Not necessarily. The square root of 2.56 equals 1.6, and the square root of 0.25 equals 0.5, for two examples. If the decimal represents a rational number that is a fraction of two perfect squares, then the square root will be a rational number. The two examples I gave were 2.56 = 256/100, and 0.25 = 1/4.
