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Multiply and simplify if possible.
(6 − 3–√)(4+3–√)
To multiply (6 − 3√)(4+3√), we will use the distributive property.
First, multiply 6 by 4:
6 * 4 = 24
Next, multiply 6 by 3√:
6 * 3√ = 18√
Then, multiply -3√ by 4:
-3√ * 4 = -12√
Finally, multiply -3√ by 3√:
-3√ * 3√ = -9
Putting it all together, we get:
(6 − 3√)(4+3√) = 24 + 18√ - 12√ - 9
Combining like terms:
24 + 6√ - 9 = 15 + 6√
Therefore, (6 − 3√)(4+3√) simplifies to 15 + 6√.