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Which of the following most closely approximates

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by [email protected] » Tue Oct 24, 2017 10:45 am
Hi LUANDATO,

The answer choices are 'spaced out' enough that we can use estimation to get to the correct answer (the prompt also TELLS US to approximate the value of the given calculation). Thus, let's round all of the numbers and calculate...

(4)(50)/(2) = 200/2 = 100

The square root of 100 = 10

Final Answer: C

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by EconomistGMATTutor » Wed Oct 25, 2017 2:58 pm
Which of the following most closely approximates
$$\sqrt{\frac{\left(3.97\right)\left(50.02\right)}{1.84}}=?$$

A. 1
D. 5
C. 10
D. 20
E. 100

Tha OA is C.

Why the answer choices are only integers? I don't understand it. Can any expert help me with this PS question please? Thanks.
Hi LUANDATO,
Let's take a look at your question.

$$\sqrt{\frac{\left(3.97\right)\left(50.02\right)}{1.84}}=?$$
Since we are asked to approximate the value of the radical expression given, so let's round off the decimals to simplify.

$$\approx\sqrt{\frac{\left(4\right)\left(50\right)}{2}}$$

$$\approx\sqrt{\frac{200}{2}}$$
$$\approx\sqrt{100}$$
$$\approx10$$

Therefore, Option C is correct.

Hope it helps.
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by Scott@TargetTestPrep » Wed Nov 20, 2019 5:45 pm
BTGmoderatorLU wrote:Which of the following most closely approximates
$$\sqrt{\frac{\left(3.97\right)\left(50.02\right)}{1.84}}=?$$

A. 1
D. 5
C. 10
D. 20
E. 100

Tha OA is C.

Why the answer choices are only integers? I don't understand it. Can any expert help me with this PS question please? Thanks.
The closest approximation is:

√[(4 * 50)/2]

√(2 * 50)

√100 = 10

Answer: C

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