SOLUTION: sir what is the root of 5+2*root 6

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Question 969387: sir what is the root of 5+2*root 6

Found 2 solutions by MathTherapy, greenestamps:
Answer by MathTherapy(10801)   (Show Source): You can put this solution on YOUR website!
sir what is the root of 5+2*root 6
**********************************root of 5 + 2*root 6
I take it, this is: , the square root of a SURD! If so,
                     ----- Changing 5 to 3 + 2, and 6 (in ) to 3*2
                     ------ Applying 
   ------ Converting 
The above is in the form: , with , and so:
 then becomes:  
                                                                                ----- Cancelling SQUARE and SQUARE ROOT

Answer by greenestamps(13325)   (Show Source): You can put this solution on YOUR website!


Consider this:



In the form on the right, the rational part is the sum of two integers and the expression under the radical is the product of those two integers, and there is a multiplier "2" outside the radical.

In your problem, you are to find



This is in the form of the pattern above: 5 is the sum of 2 and 3; 6 is the product of 2 and 3; and the radical has a multiplier "2". So the problem fits the pattern:



Here are a couple of random examples to help you see the pattern:

[17 is 10+7; 70 is 10*7]

[9 is 7+2; 14 is 7*2]

ANSWER:


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