What is the #sqrt119# in simplest radical form?

1 Answer
Jul 4, 2016

Answer:

#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#..