Multiply and simplify if possible. (6 − 3–√)(4+3–√) show all work
To simplify the expression, we can use the distributive property:
(6 − 3–√)(4+3–√)
= 6(4) + 6(3–√) - 3–√(4) - 3–√(3–√)
= 24 + 18–6√ - 12–3√ - 3–√(–3√)
Next, we can multiply each term:
= 24 + 18–6√ - 12–3√ + 3√(3√)
= 24 + 18–6√ - 12–3√ + 3√(9)
= 24 + 18–6√ - 12–3√ + 3(3)
= 24 + 18–6√ - 12–3√ + 9
Finally, combine like terms:
= (24 + 18 + 9) – 6√ – 3√ – 12
= 51 – 9√ – 12
= 51 – 9√ – 12
= 39 – 9√