question 12

what is the value of the following expression?

$\sqrt3{-343}$

-7

49

7

-49

Question

question 12

what is the value of the following expression?

$\sqrt3{-343}$

-7

49

7

-49

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Simplifying Cube Roots" ], "new_concepts": [], "current_concepts": [ "Simplifying Cube Roots", "Radical Properties" ] } ## Extract the negative sign from the cube root Using the *Simplifying Cube Roots* knowledge point $$ \sqrt[3]{-343} = -\sqrt[3]{343} $$ ## Evaluate the cube root of the positive integer Using the *Simplifying Cube Roots* knowledge point $$ \begin{aligned} &343 = 7^3 \ &-\sqrt[3]{343} = -7 \end{aligned} $$

(A) -7

(B) 49

(C) 7

(D) -49

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Simplifying Cube Roots" ] }

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QUESTION IMAGE

Question

Explanation:

Extract the negative sign from the cube root

Evaluate the cube root of the positive integer

Answer: