Evaluate the radical expression if it is a real number. Use a calculator to approximate irrational numbers to the nearest
hundredth. If the expression is not a real number, so state.
-$$\sqrt [ 4 ] { - \frac { 1 } { 81 } }$$
A) $\frac { 1 } { 3 }$
B)19
C) $- \frac { 1 } { 3 }$
D)not a real number

Question

Quizplus · Accepted Answer

The expression involves taking the fourth root of a negative number, which results in a real number because the fourth root of a positive number is real and the negative sign becomes positive when raised to an even power. However, the way the question is phrased suggests looking for a mistake in reasoning. The correct interpretation is that the fourth root of a negative number is not a real number when directly applied without considering complex numbers. Therefore, the expression is not a real number.

Evaluate the Radical Expression If It Is a Real Number −1814\sqrt [ 4 ] { - \frac { 1 } { 81 } }4−811​​

Evaluate the Radical Expression If It Is a Real Number $\sqrt [ 4 ] { - \frac { 1 } { 81 } }$