Final answer:
To determine the irrational number that when multiplied by -41 equals 12, divide 12 by -41 and match the result to the square root options provided. The correct answer is √12.
Step-by-step explanation:
The student is asking which irrational number when multiplied by -41 will give the product of 12. To find this number, we need to perform algebraic manipulation by dividing 12 by -41, which will give us the irrational number we are looking for. Given the options provided, we know that square roots represent irrational numbers, and we need to identify which one, when multiplied by -41, equals 12. Performing the calculation, we have 12 divided by -41 equals approximately -0.29268. Looking at the options, √12 (option 3) is the closest match because the square root of 12 is approximately 3.464, which when multiplied by -41 will give approximately -12, recognizing that there will be rounding involvements.