Mathematics
Grade-8
Easy
Question
Which of the following numbers are an irrational?
Hint:
Terminate decimal refers to a decimal with a finite number of digits after the decimal point.
A recurring decimal refers to a decimal with a repeated digit or digits at the end after the decimal point.
Rational numbers refer to those numbers that can be represented as a simple fraction and can be either a whole number, a terminating decimal or a non terminating recurring decimal.
Irrational numbers refer to those numbers that cannot be represented as a simple fraction and are non-terminating non-recurring decimal.
The correct answer is:
TO FIND-
Irrational number from the given options.
SOLUTION-
From the given options, to find the irrational number, we find the option that is a non-terminating, non-recurring decimal.
a. √36/3 = 6/3 = 2
The given number is a whole number.
Hence, option a is a rational number.
b. √100 = 10
The given number is a whole number.
Hence, option b is a rational number.
c. 2/94 = 0.021276596
The given number is a non-terminating, non-recurring decimal.
Hence, option c is an irrational number.
d. 21/99 = 7/33 = 0.212121212......
The given number is a non-terminating, recurring decimal.
Hence, option d is a rational number.
FINAL ANSWER-
Option 'c' i.e. '2/94' is the correct answer to the given question.
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