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State true or false: $227$ is an irrational number.

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True

False

answer is B.

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Detailed Solution

We are given a number as

227

.
We have to identify if

227

is an irrational number and accordingly decide if the statement is true or not.
A rational number is the one which can be expressed as a fraction or as a ratio of two integers say

p q

, where p and q are integers and q is non-zero.
So, we clearly say that

227

is a fraction where the numerator i.e., 22 and the denominator i.e., 7 are integers and 7 is non-zero.
Thus, by definition,

\frac{22}{7}

is a rational number, and this contradicts the given statement.
Hence, the statement is false.
So, the correct option is 2.

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