Question

The number square root of 3 goes on forever with no repeating pattern therefore it is rational?

True
False

Answer 1

False

Explanation:

A number that can expressed as
`(p)/(q)`,

Where, p and q are integers such that q ≠ 0, is called a rational number.

Also, a decimal number with repeating pattern is a rational number,

( for eg : 0.333.... =
`(3)/(9)` )

Since,

√3 = 1.73205080757.....

∴ There is no repeating pattern

Thus, √3 is not a rational number.

Given statement is FALSE.