Using rational approximations, what statement is true?(1 point)
Responses
48−−√>36−−√
start root 48 end root greater than start root 36 end root
49−−√<7
start root 49 end root less than 7
49−−√>7
start root 49 end root greater than 7
48−−√<36−−√
start root 48 end root less than start root 36 end root
48−−√<36−−√ is the true statement using rational approximations.
Using rational approximations, what statement is true?(1 point)
Responses
71−−√>61−−√
start root 71 end root greater than start root 61 end root
81−−√<9
start root 81 end root less than 9
81−−√>9
start root 81 end root greater than 9
71 −−−√<61−−√
start root 71 end root less than start root 61 end root
The correct statement using rational approximations is: 48−−√<36−−√ (start root 48 end root is less than start root 36 end root).
To determine which statement is true using rational approximations, we can first calculate the approximate values of the square roots involved.
So, let's calculate the approximate values of the square roots:
- √48 ≈ 6.928
- √36 ≈ 6
Now we can compare the square roots to determine which statement is true:
- √48 > √36 - This is true because 6.928 is greater than 6.
- √49 < 7 - This is true because √49 is equal to 7, and 7 is not less than 7.
- √49 > 7 - This is false because √49 is equal to 7, and 7 is not greater than 7.
- √48 < √36 - This is false because 6.928 is greater than 6.
Therefore, the statement "√48 > √36" is true.