Question

find the square root using prime factorization method of 33 whole 31 by 81​

Answer 1

Answer:

52

Step-by-step explanation

given

33 whole 31/81 = 2704/81

step - 1

take 2704

make pair of two from right side

you get one pair 27 and other 04

the nearest square to 27 is 25 of 5

we got first digit = 5

substract 25 from 27 you get 2

now copy 204 down

then multiply 5 by 2 you get 10

now take 20 from 204

10*2 = 20

now copy 2 next to 5 in answer

as well as copy next to 10 you get 102

and 102*2 = 204

so answer is 52

checking

52 * 52 = 2704

step 2

now take 81

square root of 81 is 9

so answer is = 52/9