Question

Identify square root of 11 as either rational or irrational, and approximate to the tenths place. Rational: square root of 11 ≈ 3.3 Rational: square root of 11 ≈ 3.4 Irrational: square root of 11 ≈ 3.3 Irrational: square root of 11 ≈ 3.4

Answer 1

Answer:

Irrational: √11 ≈ 3.3

Step-by-step explanation:

Rational numbers are numbers that can be expressed as a fraction.  Irrational numbers are decimals that are non-terminating and non-repeating, such as 4.56789...  Irrational numbers include π and non-perfect squares such as √7 because when calculated, these numbers are decimals that have no end and no pattern of repetition.  Since there is not a number we can multiply by itself (such as 5 x 5 = 25) to get 11, then it is a non-perfect square and thus, irrational.  When you calculate √11 you get a non-terminating decimal:  3.316624... When we round the nearest tenths place, the answer is approximately 3.3.  

Answer 2

Answer:

$\sqrt{11}\text{ is a irrational number}, \sqrt{11}\approx 3.3$

C is correct

Step-by-step explanation:

Given: $\sqrt{11}$

Rational number: A number in the form of division of two integers. $\dfrac{p}{q}$ where $q\neq 0$

Irrational number: A number can not write as division of two integers.

Example: $\pi,e,\sqrt{5}$

Therefore, $\sqrt{11}$ is a irrational number.

Using calculator to find $\sqrt{11}$

$\sqrt{11}=3.316....$

Now round off to tenths place.

$\sqrt{11}\approx 3.3$

Hence, $\sqrt{11}\text{ is a irrational number}, \sqrt{11}\approx 3.3$