Multiply and simplify if possible
(5−2–√)(4+2–√)
First, let's simplify the terms inside the parentheses:
(5 - 2 - √)(4 + 2 - √)
(3 - √)(6 - √)
Now, let's distribute the terms:
(3)(6) + (3)(-√) + (-√)(6) + (-√)(-√)
18 - 3√ - 6√ + √^2
18 - 9√ + √^2
Finally, simplify the square root term by recognizing that √^2 is equal to the number inside the square root:
18 - 9√ + 2
20 - 9√
Therefore, the simplified form of (5 - 2 - √)(4 + 2 - √) is 20 - 9√.