Odpowiedź:
1.
√12 + √75 + √24 + √96 = √(4 * 3) + √(25 * 3) + √(4 * 6) + √(16 * 6) =
= 2√3 + 5√3 + 2√6 + 4√6 = 7√3 + 6√6
2.
√8 * √18 = √(4 * 2) * √(9 * 2) = 2√2 * 3√2 = 2 * 3 * √2 * √2 = 6 * 2 = 12
3.
√112 : √7 = √(112/7) = √16 = 4
4.
∛54 - ∛2 = ∛(27 * 2) - ∛2 = 3∛2 - ∛2 = 2∛2
5.
∛125 * ∛25 * ∛5 = ∛125 * ∛(25 * 5) = ∛125 * ∛125 = 5 * 5 = 25
6.
∛(- 64) + √16 = - ∛64 + 4 = - 4 + 4 = 0
7.
√[- 2∛(- 8)]= √[(- 2) * (- 2)] = √4 = 2
8.
√(6 + √900) = √(6 + 30) = √36 = 6
9.
∛(2 10/27) = ∛(64/27) = 4/3 = 1 1/3
10.
√(420 + √441) = √(420 + 21) = √441 = 21
11.
√(182 - √169) = √(182 - 13) = √169 = 13
12.
∛27/∛(- 216) = 3/(- 6) = - 3/6 = - 1/2
13.
(√54 * √350)/√21 = [√(9 *6) * √(25 * 14)]/√21 = (3√6 * 5√14)/√21 = 15√(6 * 14)/√21 =
= 15√84/√21 = 15√(84/21) = 15√4 = 15 * 2 = 30
14.
(√52 * √363)/(30 * √130) = [√(4 * 13) * √(121 * 3)]/√(30 * 130) =
= (2√13 * 11√3)/√3900 = [2 * 11 * √(3 * 13)]/√(100 * 39) = 22√39/10√39 = 22/10 = 2,2
15
2∛(- 1) - ∛(- 27) = 2 * (- 1) - (- 3) = - 2 + 3 = 1
