2√10/3 is irrational number
The term "rational number" refers to any number that can be stated as a fraction, as well as a positive, negative, or zero. If q is not equal to zero, it can be expressed as p/q.
The word "rational" is derived from the word "ratio," which is a fraction and really refers to a comparison of two or more values or integer numbers. It is the ratio of two integers, to put it simply.
Consider the rational integer 3/2. It denotes that the integer 3 is divided by the number 2.
Irrational numbers are those that are not rational in nature. Let's explain; irrational numbers can be expressed as decimals but not as fractions, hence they cannot be expressed as the ratio of two integers.
After the decimal point, irrational numbers have an infinite amount of non-repeating digits. Here's an illustration of an irrational number:
For instance, 8 = 2.828
MULTIPLYING THE TWO NUMBERS,
2/√18 x 2√5
= 2 /3√2 x 2√5
= 4√5/3√2
= 2√2 x √5 /3
= 2√10/3
rational number multiplied by an irrational number is always a irrational number.
Since √10 is a irrational number, therefore, 2√10/3 is irrational number.
To learn more about rational and irrational number, refer to brainly.com/question/12088221
#SPJ9