Question

What is the `sqrt119` in simplest radical form?

Answer 1

`sqrt7sqrt 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`..