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
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:
