Square root of 200

Radical form

1) find a square that when u multiple with something else to get 200

one would be 25 (25 x 8)

2) youd get the square root of 25 times the square root of 8

the square root of 25 is 5 so it would be 5 times the square root of 8

3) so now your left with 5 times the square root of 8

like step one you find a square that you can multiple with something else to get 8

one would be the square root of 4 times 2

4) the square root of 4 would be 2

so now ur left with 5 times 2 times the square root of 2

5) since there are no more squares when multiplied to get 2 besides 2 and 1 so ur answer is ...

10 times the square root of 2

200=2^3*5^2

squared 2^3*5^2

apply exponent rule: squared 2^2*2*5^2

apply radical rule: squared 2, squared 2^2, squared 5^2

apply radical rule: squared 2^2=2 then 2squared2, squared5^2

apply radical rule: squared5^2=5 then 2squared2*5

refine to: squared2*10