Question: Evaluate the following. Click on “Not a real number” if applicable. (a) -\sqrt[4]{81} =…

Evaluate the following. Click on “Not a real number” if applicable. (a) -\sqrt[4]{81} = \boxed{\quad} (b) \sqrt[3]{-125} = \boxed{\quad} Not a real number

Solution

Evaluate the following: (a) \(\sqrt[4]{81}\) To find the fourth root of 81, we need to determine which number, when raised to the fourth power, equals 81. \(3^4 = 81\) Therefore, \(\sqrt[4]{81} = 3\). (b) \(\sqrt[3]{-125}\) To find the cube root of \(-125\), we need to determine which number, when raised to the third power, equals \(-125\). \((-5)^3 = -125\) Therefore, \(\sqrt[3]{-125} = -5\).