Question

Complete the statement using <, >, or =
_
4√2 _?_ 16/3

Answer 1

4√2 > 16/3

Explanation:

If you can use a calculator, find √2 and multiply it by 4. You get 5.656...

Then divide 16 by 3. You get 5.333...

Since 5.656... > 5.333..., then 4√2 > 16/3

If you can't use a calculator, do the same operations to both numbers until they are easily compared.

4√2 ___ 16/3

Square both numbers:

(4√2)² ___ 256/9

16 × 2 ___ 256/9

32 ___ 256/9

Multiply both numbers by 9:

32 × 9 ___ 256/9 × 9

288 ___ 256

Since 288 > 256, then 4√2 > 16/3