Are There Any Rational Square Roots?

Is square root of 15 a rational number?

Answer and Explanation: The square root of 15 is not a rational number..

What is the value of Root 256?

16Answer and Explanation: The square root of 256 is 16.

Is 25 a irrational number?

Answer and Explanation: The number 25 is a rational number. It is a whole number which can be written as the fraction 25/1.

How do you tell if roots are rational or irrational?

If the discriminant is positive and is a perfect square (ex. 36,121,100,625 ), the roots are rational. If the discriminant is positive and is not a perfect square (ex. 84,52,700 ), the roots are irrational.

Is 2.5 a real number?

-2.5 CAN be found on the number line, so it is a real number!

Is the square root of 25 a rational number?

The square root of 25 is a rational number. Additionally, 25 is a perfect square. This means that you can multiply an integer by itself and obtain 25:…

What is the root square of 324?

18Answer and Explanation: The square root of 324 is 18.

What type of number is √ 16?

2 Answers. Square root of 16 is +4 or -4. Since -4 is not a natural number, the square root can be described as an integer.

Is the square root of 16 rational?

Answer and Explanation: The square root of 16 is a rational number. The square root of 16 is 4, an integer.

Is √ 3 an irrational number?

The square root of 3 is the positive real number that, when multiplied by itself, gives the number 3. The square root of 3 is an irrational number. … It is also known as Theodorus’ constant, named after Theodorus of Cyrene, who proved its irrationality.

Why is the square root of 2 irrational?

Because √2 is not an integer (2 is not a perfect square), √2 must therefore be irrational. This proof can be generalized to show that any square root of any natural number that is not the square of a natural number is irrational.

What are the two square roots of 256?

1 Answer. −16 is also a square root of 256. By definition, the principal square root of a number is the positive square root.

Is the square root of 2.5 rational?

No. 2.5 * 2.5 = 5/2 * 5/2 = 25/4. By definition any number that can be expressed in the form of a/b where a and b are integers is rational.

Is the square root of 256 Rational?

The square root of 256 is a rational number if 256 is a perfect square. It is an irrational number if it is not a perfect square. Since 256 is a perfect square, it is rational number.

Is the square root of 9 a rational number?

A rational number is a number that can be expressed as the quotient or fraction x/y of two integers, a numerator x and a non-zero denominator y. Square root if 9 is 3 which can be expressed as 3/1=3. Hence, square root of 9 is a rational number.

Is 0 a rational number?

Zero Is a Rational Number As such, if the numerator is zero (0), and the denominator is any non-zero integer, the resulting quotient is itself zero.

Is 2/3 an irrational number?

For example 3=3/1, −17, and 2/3 are rational numbers. … Most real numbers (points on the number-line) are irrational (not rational). The rational numbers are those which have repeating decimal expansions (for example 1/11=0.09090909…, and 1=1.000000…

Can square roots be rational?

Oh no, there is always an odd exponent. So it could not have been made by squaring a rational number! This means that the value that was squared to make 2 (ie the square root of 2) cannot be a rational number. In other words, the square root of 2 is irrational.