Respuesta :

[tex] \sqrt{20} = 4.472135955 [/tex]

≈ 4.47 when rounded to the nearest hundredth    OR

≈ 4.5 when rounded to the nearest tenth

→ 4.47 is a better approximation since it contains a digit in the hundredth place rather than none at all.

Answer:

4.47

Step-by-step explanation:

Given : [tex]\sqrt{20}[/tex]

To Find : Which is a better approximation

Solution:

20 lies between two perfect squares i.e. 16 and 25

Square root of 16 = 4

Square root of 25 = 5

So, Square root of 20 must lie between 4 and 5

Using calculator

The [tex]\sqrt{20}=4.47[/tex]

Hence a better approximation of the square root of 20 is 4.47.