Answer: No. Square roots of all positive integers are not irrational. Example 4, 9, 16, etc. are positive integers and their square roots are 2, 9 and 4 which are rational numbers.

In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself.

Integer Examples Non-negative Integers: 0 and all positive whole numbers, like 6, 7, 8, 9 6 , 7 , 8 , 9 , and so on. Positive Integers: 1, 2, 3, 4, 5 1 , 2 , 3 , 4 , 5 , without end Zero: 0 all by itself.

√14 is already simplified. Using a calculator, √14=3.74165738677 .

= 5√3. the square root of 13. If a positive whole number is not a perfect square, then its square root is called a surd. A surd cannot be written as a fraction, and is an example of an irrational number.

But the value of √2 is 1.41421356…., so the decimals continue up to infinite numbers and non-recurring in nature, so √2 is a surd.

Surds are numbers left in root form (√) to express its exact value. It has an infinite number of non-recurring decimals. Therefore, surds are irrational numbers. Well, 2 x 121 is 242 and we can take the square root of 121 without leaving a surd (because we get 11).

√π is not a surd.

Pure surd has no rational factor except unity. For example 2√2, 2√5,2√7, 2√12, 3√15, 5√30, 7√50, n√x all are pure surds as these have rational numbers only under radical sign or the whole expression purely belongs to a surd.

So √27 is an irrational number.

In short, no. Integers are the sets of positive numbers, negative numbers along with 0. A perfect square can be any number which can be represented as the square of 2 numbers.

Π is a irrational number but 22/7 is a rational number why.

To explain 3.1416 is a rational number, why ? The rational number is defined as “it can be written as form, where q ≠ 0. = , is a form of , it is a rational number. Thus, 3.1416 is a rational number because it can be written as form.

4 is a rational number because it can be expressed as the quotient of two integers: 4 ÷ 1.

Pi is an irrational number, which means that it is a real number that cannot be expressed by a simple fraction. Though it is an irrational number, some use rational expressions to estimate pi, like 22/7 of 333/106.

7 pi is irrational, because the decimals go on forever. It is possible that it is rational and has more digits than anything can count to, but that is considered irrational. A trick to finding irrational numbers in long division is when the remainder is 9 or when it loops.

Answer and Explanation: 13 is a rational number. A rational number is any number that is negative, positive or zero, and that can be written as a fraction.

Square root of √13 is an irrational number.