# How do you simplify #sqrt(4205)#?

##### 1 Answer

Feb 14, 2016

#### Explanation:

Let's find out factors of the given number 4205

- Since there is 5 in the units place, 5 must be a factor.

#4205=5xx841# - 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

Taking 29 out of the square root sign