Question

Identify the square root of three as either rational or irrational, and approximate to the tenths place. : ≈ 1.7 Irrational: ≈ 1.7 Rational: ≈ 1.8 Irrational: ≈ 1.8 Rational

Answer 1

3 is rational; the square root of 3 is not.  I remember that sqrt(3) is approx. 1.732.  Rounding this off to the nearest 10ths place, we get 1.7.

Answer 2

Option 1 -
`√(3)\approx 1.7` an irrational number.

Explanation:

Given : Number
`√(3)`

To find : Identify the number as either rational or irrational?

Solution :

We have given the number
`√(3)`

As 3 has an exponent of 1, so 3 could not have been made by squaring a rational number.

Or 3 is not a perfect square, so does not have an exact square root.

Using calculator,

`√(3)=1.7320508...`

So,
`√(3)` is an irrational number.

The irrational number
`√(3)` is non-terminating, non-recurring decimal.

Approximate to nearest tenths place,

`√(3)\approx 1.7`

Therefore, Option 1 is correct.

`√(3)\approx 1.7` an irrational number.