Question

Find the square root of 784 using prime factorization.

Answer 1

28

Explanation:

784=2×2​×2×2​×7×7​⇒784 ​=2×2×7=28

Answer 2

first check the smallest number that divide 784

i.e 2

784/2 = 392/2= 196/2 =98/2 =49/7=7

we get

748= 2*2*2*2*7*7

for square root take one out of 2 same number

square root of 784= 2*2*7 = 28