 # Question: Can Square Roots Be Rational Numbers?

## 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….

## Is Square Root 24 a rational number?

Since 24 is a natural number, but the square root of 24 isn’t a natural number (it’s an irrational number that never terminates or repeats [4.898 979 486 …]), 24 is NOT a perfect square.

## 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.

## Which one of the following number has rational square root?

which one of the following numbers has rational square root ? Explanation : √0.09 = √9100 = 310 = 0.3, which is rational. ∴ 0.09 has rational square root.

## 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.

## What is a square root of 19?

361 4.359Table of Squares and Square RootsNUMBERSQUARESQUARE ROOT193614.359204004.472214414.583224844.69096 more rows

## Is square root of 25 a rational number?

Answer and Explanation: 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:…

## Are all square roots rational numbers?

Not all square roots are whole numbers. Many square roots are irrational numbers, meaning there is no rational number equivalent. … To estimate the square root of a number, look for the perfect integers less than and greater than the value, and then estimate the decimal.

## Are there any rational square roots?

The square root of any perfect square is rational. … You can also take the square root of a rational non-integer, that is a fraction, and if the numerator and denominator are both perfect squares, you will have rational square roots. For instance sqrt(16/25)= 4/5 or -4/5.