Question

Is is square root of 1.6875 a rational number

Answer 1

Question:

Is square root of 1.6875 a rational number ?

Answer:

Square root of 1.6875 a rational number is not a rational number

Solution:

Given that we have to find square root of 1.6875 and determine if it is rational number or not

Let us first find square root of 1.6875

`√(1.6875) = 1.29903810568`

Let us understand about rational number

A rational number is a number that can be expressed as a fraction (ratio) in the form
`(p)/(q)` where p and q are integers and q is not zero.

When a rational number fraction is divided to form a decimal value, it becomes a terminating or repeating decimal.

So the number 1.29903810568 is not a rational number

In other words we can say,

Only the square roots of square numbers are rational. Here 1.6875 is not a perfect square. So it is not rational number