Question

How do you simplify `sqrt(196)`?

Answer 1

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`.

Answer 2

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`