What is the value of the following expression?
$$
\sqrt[3]{-343}
$$
$-49$
7
$-7$
49

Question

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ To find the cube root of $-343$, we use the property of cube roots for negative numbers. ‖ ‖ step 2 ⋮ The cube root of $-343$ is calculated as follows: $\sqrt[3]{-343} = -\sqrt[3]{343}$. ‖ ‖ step 3 ⋮ Since $343 = 7^3$, we have $\sqrt[3]{343} = 7$. ‖ ‖ step 4 ⋮ Therefore, $\sqrt[3]{-343} = -7$. ‖ ***C*** ∻Key Concept∻ ⚹Cube Root of a Negative Number⚹ ∻Explanation∻ ⚹The cube root of a negative number is the negative of the cube root of the absolute value of that number.⚹◊What is the relationship between the cube root of a negative number and its possible values?⍭ Generate me a similar question◊

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