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I am assuming your question should be formatted as follows: 9(sqrt(2)) + 5(sqrt(3)) We want to try make the roots have the same number in them, we would usually do this by moving numbers outside the sqrt to the inside and finding factors of them both that are square numbers, but I can see that that will not work for this question with numbers that I can do in my head. If you know all your square numbers and their multiples by heart then you might be able to solve this. But for us mortals it is time to pull out the calculator. 21.388176
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What is 3 root 2 plus 2 root 2?
5 root 2
5 square root of 3 2 square root of 3?
Square root of 6
What is -5 add 2?
-3
Square root in denominator?
I will use "root" as a symbol for square root. I assume you want to get rid of the square root in the denominator; this will usually bring some square root into the numerator.If you have the square root by itself, or as a factor, multiply numerator and denominator by this square root. Example:3 / root(2) = 3 x root(2) / root(2) x root(2) = 3 x root(2) / 2.If the square root is added or subtracted with something else, multiply with a "complement", as in the following example:1 / root(2) + 5The "complement" is the same expression, but changing the plus sign to a minus sign. Multiply numerator and denominator aby root(2) - 5:root(2) - 5 / (root(2) + 5)(root(2) - 5)= (root(2) - 5) / (2 - 25)= (root(2) - 5) / -23= -(root(2) - 5) / 23
What two numbers multiply to -5 and add to 6?
1
