Odpowiedź:
b)
12√42/4√6 = 12/4 * √(42/6) = 3 * √7 = 3√7
4√90/3√72 = 4/3 * √(90/72) = 4/3 * √(5/4) = 4/3 * √5/2 = 4√5/6 = 2√5/3
18√24/(- 3√8) = 18/(- 3) * √24/8) = - 6 * √3 = - 6√3
c)
√12 + √27 = √(4 * 3) + √(9 * 3) = 2√3 + 3√3 = 5√3
5√48 - 11√3 = 5√(16 * 3) - 11√3 = 5 * 4√3 - 11√3 = 20√3 - 11√3 = 9√3
√80 - √45 = √(16 * 5) - √(9 * 5) = 4√5 - 3√5 = √5
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Odpowiedź:
b)
12√42/4√6 = 12/4 * √(42/6) = 3 * √7 = 3√7
4√90/3√72 = 4/3 * √(90/72) = 4/3 * √(5/4) = 4/3 * √5/2 = 4√5/6 = 2√5/3
18√24/(- 3√8) = 18/(- 3) * √24/8) = - 6 * √3 = - 6√3
c)
√12 + √27 = √(4 * 3) + √(9 * 3) = 2√3 + 3√3 = 5√3
5√48 - 11√3 = 5√(16 * 3) - 11√3 = 5 * 4√3 - 11√3 = 20√3 - 11√3 = 9√3
√80 - √45 = √(16 * 5) - √(9 * 5) = 4√5 - 3√5 = √5