Question

Find the square root of each of the following correct to three places of decimal. 

(i) 5 

(ii) 7 

(iii) 17 

(iv) 20 

(v) 66 

(vi) 427 

(vii) 1.7 

(viii) 23.1 

(ix) 2.5 

(x) 237.615 

(xi) 15.3215 

(xii) 0.9 

(xiii) 0.1 

(xiv) 0.016 

(xv) 0.00064 

(xvi) 0.019 

(xvii) \(\frac{7}{8} \) 

(xviii) \(\frac{5}{12}\) 

(xix) \(2 \frac{1}{2}\) 

(xx) \(287\frac{5}{8}\)

Answer 1

(i) 5 = 2.236

 = 2.236

(ii) 7 = 2.647

= 2.646

(iii) 17 = 4.123

= 4.123

(iv) 20 = 4.472

 = 40.472

(v) 66 = 8.124

 = 8.124

(vi) 427 = 20.664

 = 20.664

(vii) 1.7 = 1.304

 = 1.304

(viii) 23.1 = 4.806

 = 4.806

(ix) 2.5 = 1.581

 = 1.581

(x) 237.615 = 15.415

 = 15.415

(xi) 15.3215 = 3.914

 = 3.914

(xii) 0.9 = 0.949

 = 0.949

(xiii) 0.1 = 0.316

(xiii) 0.1 = 0.316

 = 0.316

(xiv) 0.016 = 0.126

(xv) 0.00064 = 0.025

(xvi) 0.019 = 0.138

(xvii) \(\frac{7}{8}\) = 0.875

 = 0.875

(xviii) \(\frac{5}{12} = 0.416\)

 = 0.645

(xix) \(2 \frac{1}{2} = 2.500000\)

(xx) \(287\frac{5}{8} = 287.62\)

Hence, \(\sqrt{287.62} = 16.980\)