Respuesta :
The answer depends on knowing that 0.4444.... is equal to 4/9;
the square root of 4/9 is 2/3 = 0.6666....
the square root of 4/9 is 2/3 = 0.6666....
The square root of 0.4 repeating is 0.6 repeating.
What is square root?
A value that, when multiplied by itself, yields the number is the square root of a number.
How to find the square root of 0.4 repeating?
Given number 0.4 repeating
We have to find the square root of it
Let x= 0.444 ..(1)
Multiply 10 both sides.
10x = 4.444 ..(2)
Subtract equ(1) from equ(2)
9x=4
x=4/9
Take square root both sides
√x=2/3
= 0.6 repeating
Hence the square root of 0.4 repeating is 0.6 repeating
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