# How do you simplify sqrt(196)?

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

$2 \cdot 7 = 14$

So, the simplify of $\sqrt{196}$ is $14$.

Jan 23, 2016

14

#### Explanation:

$\sqrt{a b} = \sqrt{a} \times \sqrt{b} \Leftrightarrow \sqrt{a} \times \sqrt{b} = \sqrt{a b}$
these are 196 = $4 \times 49$
then $\sqrt{196} = \sqrt{4} \times \sqrt{49} = 2 \times 7 = 14$