Rozwiązane

Oblicz:

1. (√3 - √12 + √27) × √3 =
2. √45 × √5 - ∛2 × ∛4 =
3. √1¾ ÷ √3¹⁵/₁₆ + ∛5 × ∛25 =
4. [2² - √1⁹/₁₆ ÷ ( -1¼ )²] × ( -2½ )³ =

Odpowiedź :

Annaa300viz
Oblicz:

1. (√3 - √12 + √27) × √3 =√9-√36+√81=3-6+9=6
2. √45 × √5 - ∛2 × ∛4 =√225-³√8=15-2-13
3. √1¾ ÷ √3¹⁵/₁₆ + ∛5 × ∛25 =√7/4:√63/16+³√125=
=√(7/4*16/63)+5=
=√4/9+5=
=2/3+5=5 i 2/3
4. [2² - √1⁹/₁₆ ÷ ( -1¼ )²] × ( -2½ )³ = [4 - √(25/16):25/16]×(-125/8)=
=[4-5/4*16/25]*(-125/8)=
=[4-4/5]*(-125/8)=
=16/5*(-125/8)=
=-50
Cyfraviz
1. (√3 - √12 + √27) × √3 = (√3 - 2√3 + 3√3) × √3 = 2√3 × √3 = 6

2. √45 × √5 - ∛2 × ∛4 = 3√5 × √5 - ∛8 = 3√25 - ∛8 = 3 × 5 - 2 = 13

3. √1¾ ÷ √3¹⁵/₁₆ + ∛5 × ∛25 = √(7/4) ÷ √3¹⁵/₁₆ + ∛5 × ∛25 = √(7/4) ÷ √(63/16) + ∛125 = √(7/4 × 16/63) + ∛125 = √(4/9) + 5 = 2/3 + 5 = 5 2/3 = 17/3

4. [2² - √1⁹/₁₆ ÷ ( -1¼ )²] × ( -2½ )³ = [4 - √(25/16) ÷ ( -5/4 )²] × ( -5/2 )³ = [4 - 5/4 ÷ 25/16] × ( -5/2 )³ = [4 - 4/5] × ( -5/2 )³ = 16/5 × -125/8 = -50

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