Asked by Randy Sandoval on Apr 27, 2024
Verified
Evaluate the radical expression −12\sqrt { - 12 }−12 without using a calculator. If not possible, state the reason.
A) -12
B) -144
C) 144
D) 12
E) not a real number
Calculator
An electronic device or software program used for performing mathematical calculations.
Real Number
A numerical representation of a quantity on a continuous spectrum, encompassing all rational and irrational numbers.
- Understand the principle of square roots and cube roots, including complex numbers.
Verified Answer
EB
Elizabeth BoyleApr 28, 2024
Final Answer :
E
Explanation :
The square root of a negative number is not a real number, since the square of any real number is positive. Therefore, $\sqrt{-12}$ is not possible without introducing imaginary numbers.
Learning Objectives
- Understand the principle of square roots and cube roots, including complex numbers.