SOLUTION: Simplify. {{{sqrt(12)/sqrt(3)}}} I am having a really hard time with this problem and need some help please thanks.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Simplify. {{{sqrt(12)/sqrt(3)}}} I am having a really hard time with this problem and need some help please thanks.       Log On


   

Question 76792: Simplify. sqrt%2812%29%2Fsqrt%283%29
I am having a really hard time with this problem and need some help please thanks.
Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
The given expression is:

sqrt%2812%29%2Fsqrt%283%29 --------------(1)


We know that 12 can be factored as: 12 = 4 * 3

Hence, sqrt%2812%29+=+sqrt%284+%2A+3%29

And this can be written as: sqrt%284%29+%2A+sqrt%283%29

Therefore,

sqrt%2812%29+=+sqrt%284%29+%2A+sqrt%283%29

Hence, EQN (1) can be written as:

sqrt%2812%29%2Fsqrt%283%29+=+%28sqrt%284%29+%2A+sqrt%283%29%29%2Fsqrt%283%29

==>

==> sqrt%2812%29%2Fsqrt%283%29+=+sqrt%284%29

Hence, the solution.