ACT Math Practice Question #1473 (Medium (32)) | Test Citadel
TC
Test Citadel
ACT Math Difficulty: Medium (32)

Digital ACT Math Practice Question #1473

Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.

For two positive numbers 4 and 36, what is the positive difference between their arithmetic mean and their geometric mean?
Select Your Answer:
Socratic AI Engine Step-by-Step Derivation
0ms Precomputed
⚡ 15-Second Desmos Speed Hack

AM = 20. GM = sqrt(144) = 12. Difference = 20 - 12 = 8.

Masterclass Solution & Distractor Trap Analysis

Arithmetic mean = (4 + 36) / 2 = 40 / 2 = 20. Geometric mean = sqrt(4 * 36) = sqrt(144) = 12. Positive difference = 20 - 12 = 8....

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

🔒 Citadel Pro Scholar Vault

Unlock Full Solution & 2,600+ Official Drills

Access detailed Socratic steps, trap breakdowns, authentic timed module simulations, and Desmos speed hacks for just $9.99/mo.

Socratic Assistant

Targeted hints without disclosing final solutions.

I am your Socratic tutor. Click one of the quick guidance buttons above or ask a specific question below about a formula or method.