Question

Multiple Choice Question
An irrational number, d
, has a value such that 6<d<7
. Which of the following is a possible value for d
?

A. sqrt 6.2

B.
2π

C. sqrt 13

D.
6π

Answer 1

To determine which of the provided options represents a possible value for the irrational number \( d \) that satisfies \( 6 < d < 7 \), we'll evaluate each choice:

A. \( \sqrt{6.2} \)
Calculating \( \sqrt{6.2} \):
\[
\sqrt{6.2} \approx 2.489
\]
This value is less than 6.

B. \( 2\pi \)
Calculating \( 2\pi \):
\[
2\pi \approx 6.283
\]
This value is greater than 6 and less than 7, so it is a candidate.

C. \( \sqrt{13} \)
Calculating \( \sqrt{13} \):
\[
\sqrt{13} \approx 3.606
\]
This value is less than 6.

D. \( 6\pi \)
Calculating \( 6\pi \):
\[
6\pi \approx 18.849
\]
This value is much greater than 7.

The only value that fits the requirement \( 6 < d < 7 \) is:

**B. \( 2\pi \)**.