prashantprince1610 prashantprince1610

08-10-2020
Mathematics

contestada

Find the square root of the
following numbers by prime factorisation method :
(iii) 3136

Respuesta :

jamarousmarshall12 jamarousmarshall12

08-10-2020

3136 = 1568 x 2
1568 = 784 x 2
784 = 392 x 2
392 = 196 x 2
196 = 98 x 2
98 = 49 x 2
So 49 x 2 x 2 x 2 x 2 x 2 x 2 = 49 x 4 x 4 x 4 = 3136
So the square root of 3136 = the square root of (49 x 4 x 4 x 4) = 7 x 2 x 2 x 2 = 56

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