Question

how to find √2 with a brief process

Answer 1

by using calculator √2=1.414

Answer 2

√49 

Solution : 
(i) 49 -1 = 48
(ii) 48 – 3= 45 
(iii) 45 – 5 = 40 
(iv) 40 – 7= 33 
(v) 33 – 9 = 24 
(vi) 24 – 11 = 13 
(vii) 13 – 13 = 0 
Here, the total number of subtractions is 7. 
∴ √49 = 7 
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2) √36 

Solution : 
(i) 36 -1 = 35
(ii) 35 – 3= 32 
(iii) 32 – 5 = 27 
(iv) 27 – 7= 20 
(v) 20 – 9 = 11 
(vi) 11 – 11 = 0
Here, the total number of subtractions is 7. 
∴ √49 = 7