# How do you simplify sqrt(-196)?

Feb 22, 2016

sqrt(−196) = $14 i$

#### Explanation:

As we need to take square roots of a negative number, we should use imaginary number $i$ such that ${i}^{2} = - 1$.

Hence sqrt(−196) can be expressed $\sqrt{\left(- 1\right) \cdot 14 \cdot 14}$ i.e.

$14 \sqrt{- 1}$ i.e. $14 i$.

Hence sqrt(−196) = $14 i$
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