What is the $sqrt119$ in simplest radical form?

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Answer 1 · 2016-07-04T04:53:33

$sqrt7sqrt 17$

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, $sqrt 588 =sqrt(2^2 X 3 X 7^2)=2 X 7 X sqrt 3 = 14 sqrt 3$ ..

What is the sqrt119sqrt119 in simplest radical form?