find the geometric mean of 3 and 75.

$\sqrt{78}$
78
15
225

Question

find the geometric mean of 3 and 75.

$\sqrt{78}$
78
15
225

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Geometric Mean" ], "current_concepts": [ "Geometric Mean" ] } ## Define the geometric mean formula $$ g = \sqrt{a \cdot b} $$ ## Substitute the given values $$ g = \sqrt{3 \cdot 75} $$ ## Simplify the expression $$ g = \sqrt{225} = 15 $$

(A) $\sqrt{78}$

(B) 78

(C) 15

(D) 225

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Geometric Mean" ] }

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Question

Explanation:

Define the geometric mean formula

Substitute the given values

Simplify the expression

Answer: