1988 AMC 8 Problem 11 — Solution | LIVE by Po-Shen Loh

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1988 AMC 8 Problem 11

Below is the professionally curated solution for Problem 11 of the 1988 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1988 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

Concepts:perfect square estimation

Difficulty rating: 660

11.

The value of $\sqrt{164}$ is

$42$

less than $10$

between $10$ and $11$

between $11$ and $12$

between $12$ and $13$

Solution:

Since $12^2 = 144$ and $13^2 = 169,$ and $144 \lt 164 \lt 169,$ the value $\sqrt{164}$ lies between $12$ and $13.$

Thus, the correct answer is E .

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