# What is the sqrt119 in simplest radical form?

Jul 4, 2016

$\sqrt{7} \sqrt{17}$

#### Explanation:

To get the simplest form of $\sqrt{N}$, express a non-prime N in the

form p_1^(n_1)p_2^(n_2)p_3^(n_3..., where p's are prime numbers.

Here, $N = 119 = 7 X 17$. S0, $\sqrt{119} = \sqrt{7} X \sqrt{17}$.

For a better understanding, let N = 588 =$2$237^2#.

Now, $\sqrt{588} = \sqrt{{2}^{2} X 3 X {7}^{2}} = 2 X 7 X \sqrt{3} = 14 \sqrt{3}$..