Question #0a6b8

1 Answer
Suren Abreu
Nov 23, 2016

Find the factors and group them in two sets with the same integers in both sets. The product of either set will be the square root; in this case: #75#.

Explanation:

#sqrt5625#

By a process of simple division, we can determine the factors.

#5625-:5=1125#

#1125-: 5=225#

#225-:5=45#

#45-:5=9#

#9-:3=3#

#3-:3=1#

So we have two sets of factors: #(5xx5xx3)# and #(5xx5xx3)#

The product of either set is #75#, the square root of #5625#.

Related questions
See all questions in Simplification of Radical Expressions
Impact of this question
1036 views around the world
You can reuse this answer
Creative Commons License