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What else can I help you with?
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
Is the square root of 63 rational?
No, the square root of 63 is not a rational number. A rational number can be expressed as the quotient of two integers, but the square root of 63 simplifies to approximately 7.94, which cannot be represented as a fraction of two integers. Since 63 is not a perfect square, its square root is irrational.
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 25 a rational number?
Yes, the square root of 25 is a rational number. A rational number is any number that can be expressed as a fraction of two integers. The square root of 25 is 5, which can be expressed as the fraction 5/1. Therefore, 5 is a rational number.
Why is it that square root of 361 is rational?
The square root of 361 is rational because it can be expressed as a fraction of two integers. Specifically, the square root of 361 is 19, which is an integer. Since all integers are also rational numbers (they can be written as a fraction with a denominator of 1), the square root of 361 is classified as 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 square root of 1.21 a rational?
Yes, the square root of 1.21 is a rational number. The square root of 1.21 is 1.1, which can be expressed as a fraction (11/10). Since rational numbers are defined as numbers that can be expressed as a fraction of two integers, 1.1 qualifies as rational.
Is the square root of 0.36 rational?
Yes, the square root of 0.36 is rational. The square root of 0.36 is 0.6, which can be expressed as a fraction (6/10 or 3/5). Since it can be represented as a fraction of two integers, it is classified as a rational number.
Is the square root of two and example of a rational number?
Yes
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.
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
