Question

question

simplify: \\(\sqrt5{-243}\\).

select the correct answer below:

-3
-27
3
9
not a real number

Explanation:

Identify the radical expression

$$ \sqrt[5]{-243} $$

Express the radicand as a power of a base

$$ -243 = (-3)^5 $$

Simplify the odd root

$$ \sqrt[5]{(-3)^5} = -3 $$

Answer:

• (A) \(-3\) (Correct answer)
• (B) \(-27\)
• (C) \(3\)
• (D) \(9\)
• (E) not a real number