Question

48. Zapisz w jak najprostszej postaci​

Answer 1

Verified answer

Odpowiedź:

a)

√32 + 5√2 = √(16 * 2) + 5√2 = 4√2 + 5√2 = 9√2

b)

√63 - √28 + √175 = √(9 * 7) - √(4 * 7) + √(25 * 7 ) = 3√7 + 2√7 + 5√7 =

= 10√7

c)

3∛40 - 4∛5 = 3∛(8 * 5) - 4∛5 = 3 * 2∛5 - 4∛5 = 6∛5 - 4∛5 = 2∛5

d)

3∛24 + ∛3000 - 5∛81 = 3∛(8 * 3) + ∛(1000 * 3) - 5∛(27 * 3) =

= 3 * 2∛3 + 10∛3 - 5 * 3∛3 = 6∛3 + 10∛3 - 15∛3 = 16∛3 - 15∛3 =

= ∛3