Using rational approximations what statement is true?
A. √49<7
B. √48> √36
C. √49>7
D. √48> √36
The correct statement is:
A. √49 < 7
To determine which statement is true using rational approximations, let's evaluate each statement step-by-step:
A. √49 < 7:
By simplifying the square root of 49, we get:
√49 = 7
Therefore, the statement √49<7 is false.
B. √48 > √36:
By simplifying the square roots, we get:
√48 ≈ 6.928203230275509... (rounded to 15 decimal places)
√36 ≈ 6
Therefore, the statement √48 > √36 is true.
C. √49 > 7:
By simplifying the square root of 49, we get:
√49 = 7
Therefore, the statement √49 > 7 is false.
D. √48 > √36:
We already evaluated this statement in option B and found it to be true.
Therefore, the correct answer is option B. √48 > √36.