Math

QuestionDetermine if the number is rational or irrational: 16\sqrt{16}. Options: rational, irrational.

Studdy Solution

STEP 1

Assumptions1. A rational number is a number that can be expressed as a fraction a/b where a and b are integers and b is not equal to0. . An irrational number is a number that cannot be expressed as a fraction a/b where a and b are integers and b is not equal to0.
3. The number we are evaluating is 16\sqrt{16}.

STEP 2

Calculate the square root of16.
16=4\sqrt{16} =4

STEP 3

etermine if the result can be expressed as a fraction where both the numerator and the denominator are integers and the denominator is not equal to zero.
Since can be expressed as the fraction/1, where and1 are integers and1 is not equal to zero, the number is rational.
Therefore, 16\sqrt{16} is a rational number.

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