Reduza ás seguintes expressões a sua forma mais simples A) √ 1...

Resposta:

a) 5 √ 3

b) - √ 5

c) 3 √ 6

Explicação passo a passo:

a) √ 12 + √ 75 - 9 √ 3 + √ 27 + √ 48

√ (4 × 3) + √ (25 × 3) - 9 √ 3 + √ (9 × 3) + √ (16 × 3)

√ 4 × √ 3 + √ 25 × √ 3 - 9 √ 3 + √ 9 × √ 3 + √ 16 × √ 3

√ 2² × √ 3 + √ 5² × √ 3 - 9 √ 3 + √ 3² × √ 3 + √ 4² × √ 3

2 √ 3 + 5 √ 3 - 9 √ 3 + 3 √ 3 + 4 √ 3

(2 + 5 - 9 + 3 + 4) √ 3

(7 - 9 + 7) √ 3

(14 - 9) √ 3

5 √ 3

b) 4 √ 125 + 3 √ 45 - 30 √ 5

4 √ (25 × 5) + 3 √ (9 × 5) - 30 √ 5

4 √ 25 × √ 5 + 3 √ 9 × √ 5 - 30 √ 5

4 √ 5² × √ 5 + 3 √ 3² × √ 5 - 30 √ 5

4 × 5 √ 5 + 3 × 3 √ 5 - 30 √ 5

20 √ 5 + 9 √ 5 - 30 √ 5

(20 + 9 - 30) × √ 5

(29 - 30) × √ 5

-1 × √ 5

- √ 5

c) √ 54 + √ 6 - √ 150 + 2 √ 24

√ (9 × 6) + √ 6 - √ (25 × 6) + 2 √ (4 × 6)

√ 9 × √ 6 + √ 6 - √ 25 × √ 6 + 2 √ 4 × √ 6

√ 3² × √ 6 + √ 6 - √ 5² × √ 6 + 2 √ 2² × √ 6

3 √ 6 + √ 6 - 5 √ 6 + 2 × 2 √ 6

3 √ 6 + √ 6 - 5 √ 6 + 4 √ 6

(3 + 1 - 5 + 4) √ 6

(4 - 5 + 4) √ 6

(8 - 5) √ 6

3 √ 6