## The value of $$\sqrt{\dfrac{16\pi}3}+\sqrt5$$ is most nearly equal to which of the following integers?

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### The value of $$\sqrt{\dfrac{16\pi}3}+\sqrt5$$ is most nearly equal to which of the following integers?

by Vincen » Wed Mar 31, 2021 8:02 am

00:00

A

B

C

D

E

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The value of $$\sqrt{\dfrac{16\pi}3}+\sqrt5$$ is most nearly equal to which of the following integers?

A. 2
B. 3
C. 4
D. 5
E. 6

Source: GMAT Prep

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### Re: The value of $$\sqrt{\dfrac{16\pi}3}+\sqrt5$$ is most nearly equal to which of the following integers?

by [email protected] » Thu Apr 15, 2021 10:30 am
Vincen wrote:
Wed Mar 31, 2021 8:02 am
The value of $$\sqrt{\dfrac{16\pi}3}+\sqrt5$$ is most nearly equal to which of the following integers?

A. 2
B. 3
C. 4
D. 5
E. 6

Solution:

Since π ≈ 3, √(16π/3) ≈ √16 = 4, and √5 ≈ 2; therefore, the value of the given expression is approximately 4 + 2 = 6.