# Is a radical a rational number?

Asked By: Ledicia Puntero | Last Updated: 28th January, 2020
Category: religion and spirituality atheism
4.5/5 (644 Views . 38 Votes)
In mathematics a rational numbers is a number that can be written as a fraction with an integer in both the numerator and the denominator. Radicals are numbers of the form n√x , and are read as ''the nth root of x ''.

So we have shown that the square root of any non-square cannot be rational; hence, it is irrational. And since 8 is a non-square, the square root of 8 is irrational. QED.

Also, is radical 7 rational? it is irrational no. Proof. let assume that √7 is rational no. so it could be written as: √7=p/q form where p and q are co prime….

Additionally, is negative 25 a rational 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.

Is 0 an irrational number?

Any number which doesn't fulfill the above conditions is irrational. What about zero? It can be represented as a ratio of two integers as well as ratio of itself and an irrational number such that zero is not dividend in any case. People say that 0 is rational because it is an integer.

### Is Root 3 a rational number?

The square root of 3 is the positive real number that, when multiplied by itself, gives the number 3. It is more precisely called the principal square root of 3, to distinguish it from the negative number with the same property. It is denoted by √3. The square root of 3 is an irrational number.

### Is 3 rational or irrational?

For example, 3 = 3/1 and therefore 3 is a rational number. Numbers such as 3/8 and -4/9 are also rational because their numerators and denominators are both whole numbers. Recurring decimals such as 0.26262626…, all integers and all finite decimals, such as 0.241, are also rational numbers.

### Is the square root of 62 rational or irrational?

The square root of 62 is approximately 7.87. 62 is not a perfect square and it has no perfect square factors. Thus, to find √(62), we will find

### Is 9 a rational number?

As all natural or whole numbers, including 9 , can also be written as fractions p1 they are all rational numbers. Hence, 9 is a rational number.

### Is the square root of 25 49 rational or irrational?

EXPLANATION: The square root of 25 is 5, which is an integer, and therefore rational. (T/F): The square root of 49 is an irrational number.

### Is 4 a rational number?

Every whole number is a rational number, because any whole number can be written as a fraction. For example, 4 can be written as 4/1, 65 can be written as 65/1, and 3,867 can be written as 3,867/1.

### Is square root of rational or irrational?

Real numbers have two categories: rational and irrational. If a square root is not a perfect square, then it is considered an irrational number. These numbers cannot be written as a fraction because the decimal does not end (non-terminating) and does not repeat a pattern (non-repeating).

### Is 5 rational or irrational?

Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

### Is 4 3 A irrational number?

We know that √3 is an irrational because it can not be written as a fraction of integers. Assume that 4√3 is rational. Then 4√3 = a/b where a,b are integers and co primes and b is not equal to 0. So 4√3 is irrational.

### Is 64 rational or irrational?

Your answer is here: under root 64 is a rational number becuse it have it root 8 and as we know 8 is a rational number so it is a rational number.

### Is 3.5 a rational number?

3.5 is a rational number. Again, 3.5 has a decimal, so it is not a whole number. A rational number is any value which is equivalent to the ratio of two integers. 3.5 is equivalent to the ratio of 7 and two.

### Is 27 a rational number?

“A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q”. No, so the root 27 is not a rational number.

### Is the square root of 60 rational or irrational?

The square root of 60, estimated to two decimal places is 7.75. Example: The square root of some numbers (for example the number 44.89) is a rational number that terminates (6.7). Benchmark numbers can be used to state that the square root of 44.89 is between 7 and 8.

### Is the square root of 121 rational or irrational?

The square root of 121 is a rational number. You can tell this easily because 121 is a perfect square.

### Who proved Root 2 is irrational?

DRAFT. Euclid proved that √2 (the square root of 2) is an irrational number.

### Is 25 a perfect square?

Since 25 is a natural number and the square root of 25 is a natural number (5), 25 is a perfect square. Since 102.01 is a rational number and the square root of 102.01 is a rational number (10.1), 102.01 is a perfect square.

### What is the radical of 25?

"The square root of 25 is 5." is called the radical sign (after the Latin radix = root). The number under the radical sign is called the radicand. In the example, 25 is the radicand.