# How do you simplify #sqrt(196)#?

##### 2 Answers

Jan 23, 2016

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

So, the simplify of

Jan 23, 2016

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 #