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)=a^2−b^2

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

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

4. Calculate the squares of the terms: 11^2=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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