Question

Identify the square root of 11 as either rational or irrational, and approximate to the tenths place.

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Answer 1

Answer: Simple

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.

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