Question

1. How can we convert root 800 into 20 root 2

Answer 1

prime factors of 800=2*2*2*2*2*5*5
make two pairs
two pairs of 2 and one 1 of 5 leaving 2 alone
2*2*5√2
20√2

Answer 2

√800 = √2*2*2*2*2*5*5
         = 2*2*5√2                     {because, you need a pair of numbers to take it out of the root, so only one 2 was leftover}
         = 20√2