Using rational approximation what statement is true

Question

√49<7
√49>7
√48<√36
√48>√36

Answer 1

To determine which statements are true, let's evaluate each one:

1. √49 < 7

   • √49 = 7
   • Therefore, this statement is false.

2. √49 > 7

   • √49 = 7
   • Therefore, this statement is false.

3. √48 < √36

   • √48 is approximately 6.93 and √36 = 6.
   • Therefore, this statement is false.

4. √48 > √36

   • √48 is approximately 6.93 and √36 = 6.
   • Therefore, this statement is true.

So, the only true statement is √48 > √36.