How do you simplify #sqrt(4205)#?

1 Answer
Feb 14, 2016

Answer:

#=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#