Question

Which mathematical symbol would best fill in the blank to compare the two real numbers?

square root of 7 blank 14 over 5
<
>
=
≈

Answer 1

square root of 7 is rounded to 2.645

14 over 5 is rounded to 2.8

square root of 7 < 14 over 5

Answer 2

Answer: The correct option is (A) < .

Step-by-step explanation: We are given to select the correct mathematical symbol that would best fill in the blank to compare the following two real numbers :

`\sqrt7~~~?~~~(14)/(5).`

First , we need to find the values of both the real numbers in decimal form.

We have

`\sqrt7=2.64575...,\\\\(14)/(5)=2.8.`

Since,
`2.64575<2.8,` so we get

`\sqrt7<(14)/(5).`

Thus, the correct mathematical symbol is <.

Option (A) is CORRECT.