Odpowiedź:
a)
(√6 + 5√3) * √3 = √18 + 5√9 = √(2*9) + 5 * 3 = 3√2 + 15
b)
(5√8 - 2√2) * √18 = 5√144 - 2√36 = 5 * 12 - 2 * 6 = 60 - 12 = 48
c)
(3√12 + √15) * 2√3 = 6√36 + 2√45 = 6 * 6 + 2√(9*5) = 36 + 2 * 3√5 =
= 36 + 6√5
d)
(2∛3 + ∛6) * ∛9 = 2∛27 + ∛54 = 2 * 3 + ∛(2*27) = 6 + 3∛2
e)
(5∛4 + ∛12) * 2∛2 = 10∛8 + 2∛24 = 10 * 2 + 2∛(3*8) = 20 + 2 * 2∛3 =
= 20 + 4∛3
f)
(∛25 + 2∛50) * ∛5 = ∛125 + 2∛250 = 5 + 2 * ∛(2*125) = 5 + 5∛2
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Odpowiedź:
a)
(√6 + 5√3) * √3 = √18 + 5√9 = √(2*9) + 5 * 3 = 3√2 + 15
b)
(5√8 - 2√2) * √18 = 5√144 - 2√36 = 5 * 12 - 2 * 6 = 60 - 12 = 48
c)
(3√12 + √15) * 2√3 = 6√36 + 2√45 = 6 * 6 + 2√(9*5) = 36 + 2 * 3√5 =
= 36 + 6√5
d)
(2∛3 + ∛6) * ∛9 = 2∛27 + ∛54 = 2 * 3 + ∛(2*27) = 6 + 3∛2
e)
(5∛4 + ∛12) * 2∛2 = 10∛8 + 2∛24 = 10 * 2 + 2∛(3*8) = 20 + 2 * 2∛3 =
= 20 + 4∛3
f)
(∛25 + 2∛50) * ∛5 = ∛125 + 2∛250 = 5 + 2 * ∛(2*125) = 5 + 5∛2
Szczegółowe wyjaśnienie: