Find the following. Assume that letters can represent any real number.
-$$\sqrt [ 426 ] { ( a + b ) ^ { 426 } }$$
A) $a + b$
B) $| \mathrm { a } + \mathrm { b } |$
C) $\sqrt[213]{(a+b)}$
D) $\sqrt { ( a + b ) ^ { 213 } }$

Question

Quizplus · Accepted Answer

The correct answer is $| \mathrm { a } + \mathrm { b } |$ because when you take an even root (such as the 426th root in this case) of a number raised to the same power, you get the absolute value of the base. This is because raising a negative number to an even power results in a positive number, and taking the even root of a positive number results in the positive root.

Find the Following (a+b)426426\sqrt [ 426 ] { ( a + b ) ^ { 426 } }426(a+b)426​

Find the Following $\sqrt [ 426 ] { ( a + b ) ^ { 426 } }$