Table of Contents
Is the square root of 17 rational or irrational?
irrational
A rational number is defined as the number that can be expressed in the form of a quotient or division of two integers. Both the numbers cannot be represented in the form of a rational number and have a non terminating non-repeating decimal trail. Thus, the square root of 17 is irrational.
Is the square root of 21 a irrational number?
Is the Square Root of 21 Rational or Irrational? A number is said to be irrational if it cannot be expressed in the form of a ratio p/q, where q not equal to 0. √21 = 4.58257569495584 which is a non terminating decimal. Thus √21 is irrational.
Is 21 rational or irrational?
21 is a rational number because it can be expressed as the quotient of two integers: 21 ÷ 1.
IS 17 is a irrational number?
17 is a rational number. because it can be represented as the ratio (or fraction) of two integers.
Is the square root of 20 a rational number?
This is non-terminating and the decimal part has no repeating pattern. So it is NOT a rational number. Hence, √20 is an irrational number.
Is √ 21 rational or irrational give reason?
√21 is irrational. Let’s assume that √21 is rational. So √21 can be expressed in the form p/q form. This is contradictory because in p/q, we have assumed that p and q have no common factors other than 1.
Is 21 a perfect square?
In mathematics, a square is a product of a whole number with itself. For instance, the product of a number 2 by itself is 4. In this case, 4 is termed as a perfect square. A square of a number is denoted as n × n….Example 1.
| Integer | Perfect square |
|---|---|
| 20 x 20 | 400 |
| 21 x 21 | 441 |
| 22 x 22 | 484 |
| 23 x 23 | 529 |
How can you tell if a square root is irrational?
To find if the square root of a number is irrational or not, check to see if its prime factors all have even exponents . It also shows us there must be irrational numbers (such as the square root of two) in case we ever doubted it!
How is 17 a rational number?
The number 17 is a rational number if 17 can be expressed as a ratio, as in RATIOnal. A quotient is the result you get when you divide one number by another number. For 17 to be a rational number, the quotient of two integers must equal 17.
Is the square root 50 a rational number?
The square root of 50 is a rational number if 50 is a perfect square. It is an irrational number if it is not a perfect square. Since 50 is not a perfect square, it is an irrational number.
How do you calculate the square root of an imaginary number?
An Imaginary Number: To calculate the square root of an imaginary number, find the square root of the number as if it were a real number (without the i) and then multiply by the square root of i (where the square root of i = 0.7071068 + 0.7071068i) Example: square root of 5i. = (square root of 5) x (square root of i)