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로그인 회원가입 You are solving a Korean CSAT mathematics problem. Reason carefully, but the final response must contain exactly one final answer inside \boxed{}.

For multiple-choice problems, put only one of ①, ②, ③, ④, ⑤ inside \boxed{}. For short-answer problems, put only the final integer inside \boxed{}. Do not use external tools.

Problem 1 Compute the value of 9 1 4 ×3 − 1 2 . [2 points] ①1 ② √ 3 ③3 ④3 √ 3 ⑤9 더보기

Let's compute the expression step by step.

The expression is:

9 1 / 4 × 3 − 1 2 9 1/4 ×3− 2 1 ​

First, simplify 9 1 / 4 9 1/4 :

9 1 / 4

( 3 2 ) 1 / 4

3 2 / 4

3 1 / 2

3 9 1/4 =(3 2 ) 1/4 =3 2/4 =3 1/2

3 ​

Now multiply by 3:

3 × 3

3 3 3 ​

×3=3 3 ​

Then subtract 1 2 2 1 ​

:

3 3 − 1 2 3 3 ​

− 2 1 ​

This does not match any of the given options (1, 3 3 ​

, 3, 3 3 3 3 ​

, 9). However, if the intended expression was simply 9 1 / 4 × 3 9 1/4 ×3 (without the subtraction), the result is 3 3 3 3 ​

, which corresponds to option ④.

Given the options, the most plausible intended answer is 3 3 3 3 ​

.

\boxed{④}

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