Evaluate

Problem

(11+√(,15))*(11−√(,15))

Solution

1. Identify the pattern as a difference of squares, which follows the algebraic identity (a+b)*(a−b)=a2−b2

2. Assign the values a=11 and b=√(,15) to the identity.

3. Substitute the values into the formula to get 11−(√(,15))2

4. Calculate the squares of the terms: 11=121 and (√(,15))2=15

5. Subtract the results to find the final value: 121 - 15 = 106$.

Final Answer

(11+√(,15))*(11−√(,15))=106

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