Question

How do you simplify `sqrt(432)`?

Answer 1

`sqrt(432) = 12sqrt(3)`

Explanation:

`432 = 2^4*3^3 = 2*2*3*2*2*3*3 = 12^2*3`

So we find:

`sqrt(432) = sqrt(12^2*3) = sqrt(12^2)*sqrt(3) = 12sqrt(3)`

Answer 2

`12sqrt3`

Explanation:

Let us factorize given the number `432`. For an even number `2` is a factor

`432/2=216`
`216/2=108`
`108/2=54`
`54/2=27`
we observe that `3` is a factor
`27/3=9`
`9/3=3`
`:.432=2xx2xx2xx2xx3xx3xx3`
`=>sqrt432=sqrt(2xx2xx2xx2xx3xx3xx3)`
paring and taking one digit for each pair out of the square root sign we get
`sqrt432=sqrt(bar(2xx2)xxbar(2xx2)xxbar(3xx3)xx3)`
`=>sqrt432=2xx2xx3sqrt3`
`=>sqrt432=12sqrt3`