Respuesta :
square root of 7 is rounded to 2.645
14 over 5 is rounded to 2.8
square root of 7 < 14 over 5
14 over 5 is rounded to 2.8
square root of 7 < 14 over 5
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 :
[tex]\sqrt7~~~?~~~\dfrac{14}{5}.[/tex]
First , we need to find the values of both the real numbers in decimal form.
We have
[tex]\sqrt7=2.64575...,\\\\\dfrac{14}{5}=2.8.[/tex]
Since, [tex]2.64575<2.8,[/tex] so we get
[tex]\sqrt7<\dfrac{14}{5}.[/tex]
Thus, the correct mathematical symbol is <.
Option (A) is CORRECT.
