SOLUTION: How do you add a whole number to a simplified square root? Example: 6+3sqr3 I can't get a square root symbol to copy and paste. So sqr is where it should be. Also, how do yo

Question 472843: How do you add a whole number to a simplified square root?
Example: 6+3sqr3
I can't get a square root symbol to copy and paste. So sqr is where it should be.
Also, how do you multiply 2 square root fractions?
Example: sqr of 1/4 x sqr of 2/9
Thanks so much
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
cannot be added together unless you resolve the number under the square root sign to a number that is not under the square root sign.
since is equal to 1.732050808, then you replace with 1.732050808 and you get 6 + 3*1.732050808 = 6 + 5.196152423 = 11.196152423.
if you do not resolve to a number, then it has to be shown as you are showing it.
cannot be combined unless you resolve the number under the square root sign to a number that is not under the square root sign.
radicals have certain properties that allow some operations to be applied to them and do not allow other operations to be applied to them.
some of the properties are:

you can add square roots together if the term under the square root sign is the same.
example:
cannot be added together because the expressions under the square root sign are not the same.
sometimes you can, however, convert the terms under the square root sign so that they are the same.
is the same as
is the same as
is therefore equivalent to:
.
because the terms under the square root sign are the same, they can be combined to get:
.

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