Which is a better approximation of the square root of20, 4.5 or 4.47

4.47

Step-by-step explanation:

Given :

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

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

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)