Multiply then simplify the product Assume that all variables

Multiply, then simplify the product. Assume that all variables represent positive real numbers. (squareroot 6 + 1)(squareroot 6 - 1) 5 5 - 2 squareroot 6 5 + 2 squareroot 6 7

Solution

(sqrt(6) +1)(sqrt(6) -1)
{use (a+b)(a-b) = a^2 - b^2}
so, it becomes,
{sqrt(6)}^2 - (1)^2
= 6-1
= 5
Answer: 5