How do you simplify #sqrt(196)#?

2 Answers
Jan 23, 2016

Answer:

It is a perfect squared, but there is a way to find it without knowing that.

Explanation:

First lets find the factors with a factor tree.

                 196
                  / \
                2  98
                     / \
                   2  49
                        / \
                      7   7

How many pairs of numbers do we have?
There is two; 2 and 7

Now take 2 times 7

#2*7=14#

So, the simplify of #sqrt(196)# is #14#.

Jan 23, 2016

Answer:

14

Explanation:

using the following facts about radicals :

# sqrt(ab) =sqrta xx sqrtb hArr sqrta xx sqrtb = sqrt(ab) #

Find the factors of 196 looking for perfect squares.

these are 196 = # 4 xx 49 #

Using the fact from above :

then #sqrt196 = sqrt4 xx sqrt49 = 2 xx 7 = 14 #