# What is the root of 10?

## What is the root of 10?

Table of Squares and Square Roots

NUMBER SQUARE SQUARE ROOT
7 49 2.646
8 64 2.828
9 81 3.000
10 100 3.162

Is 5 a irrational number?

Irrational numbers are the real numbers that cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio, such as p/q, where p and q are integers, q≠0. For example, √5, √11, √21, etc., are irrational. …

### Why is √ 8 an irrational number?

The number 2… can’t be written in p/q form. Hence, the square root of 8 is not a rational number. It is an irrational number.

Is 2/5 an irrational number?

Answer and Explanation: The decimal 2.5 is a rational number. All decimals can be converted to fractions.

#### Is 8 a irrational number?

Rational Numbers The number 8 is a rational number because it can be written as the fraction 8/1.

How do you know if a number is irrational?

An irrational number is a number that cannot be written as the ratio of two integers. Its decimal form does not stop and does not repeat.

## How do you prove that Root 10 is irrational?

Assume that √10 is rational. Therefore √10 = a/b where a and b are coprime integers. Then: √10 = a/b 10 = a^2/b^2 10b^2 = a^2 2*(5b^2) = a^2 Since a^2 is a multiple of 2, a must also be a multiple of 2 (if you square an even number, you get an even number, but if you square an odd number, you get an odd number).

Is the square root of 10 Irrational?

The square root of 10 is not a rational number.

### Is the number 10 Real?

1 Answer. -10 is a rational, integer and real number.

Is 10 a irrational number?

Explanation: A rational number is any number which can be expressed as a fraction pq where pandq are integers and q is not equal to zero. In this fraction both numerator and denominator are natural numbers so 10 is a rational number.