Question

How do you simplify `\sqrt { ( 5- \frac { 1} { 3} ) ^ { 2} + ( - 1- 3) ^ { 2} }`?

Answer 1

`=6.1464`

Explanation:

`(5-(1/3))^2 = ((15-1)/3)^2 = (14/3)^2 = 196/9`

`(-1-3)^2 = (-4)^2 = 16`

`sqrt((5-(1/3))^2 + (-1-3)^2) = sqrt((196/9) + 16)`

`= sqrt((196+144)/9) = sqrt(340/9) = sqrt(340)/3 = 6.1464`