Square root by hand

Estimate √38 to the nearest hundredths, using any of the two methods (divide and average method or square root estimate formula).

Correct answer:

x =  6.1644

Step-by-step explanation:

X=38=386.1644  x0=6 6=6 x1=21 (x0+38/x0)=21 (6+38/6)=637=6616.1667 x2=21 (x1+38/x1)=21 (637+38/637)=4442737=6444736.1644 x3=21 (x2+38/x2)=21 (4442737+38/4442737)=386.1644 x4=21 (x3+38/x3)=21 (6.1644+38/6.1644)=386.1644  x=x4=6.1644=38

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