Question

How do you simplify `sqrt(4205)`?

Answer 1

`=29sqrt5`

Explanation:

Let's find out factors of the given number 4205

1. Since there is 5 in the units place, 5 must be a factor.
   `4205=5xx841`
2. To find factors of 841, we observe 1 in the unit's place. So the factor could have either 1 or 9 in its units place.
   Possible factors are 11, 19, 21, 29. By trial and error we find that 29 is a factor.
   `4205=5xx29xx29`

Now the question becomes
`sqrt4205=sqrt(5xx29xx29)`

Taking 29 out of the square root sign

`=29sqrt5`