Question

Prove that (0.444)^1/2 = 0.666...

Answer 1

Answer:

√(0.444....) =  0.666.........

Step-by-step explanation:

Prove that (0.444.......)^1/2 = 0.666...

Lets first solve 0.444.......

Let Say N = 0.44444........

=> 10N = 4.44444..................

10N - N = 4.44444.................. - 0.44444........

=> 9N = 4

=> N = 4/9

=> N = 2²/3²

=> N = (2/3)²

=> √N = 2/3

=> √(0.444....) = 2/3

=> √(0.444....) =  0.666.........

QED

Proved