SOLUTION: radical 3 divided by radical 12

Question 83391: radical 3 divided by radical 12
Found 2 solutions by josmiceli, bucky:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

another way:

Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given:
.

.
Let's first work on the denominator. is equivalent to
.
Then applying the rule that we can do another conversion to
see that:
.

.
and for we can substitute its equivalent so that the next conversion
in the chain is shown on the right side of the expressions:
.

.
In the original given expression of the problem, we can now replace
by its equivalent form . That replacement results in the original given
form of the problem becoming:
.

.
Note that appears in as a factor in both the numerator and the denominator.
Therefore, it can be canceled and the result becomes:
.

.
So the simplified or reduced form of the original expression that was given is:
.

.
Hope this gets you a little more familiar with radicals and some of the methods you can
use to simplify expressions involving them.
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