Question

8√2 - 5√8 + 13√18 - 15√50 - 9√72 =

Answer 1

8√2  -5√8 +  13√18 -   15√50 - 9√72 =
8√2 -5*2√2 +13*3√2 - 15*5√2  - 9*2*3√7 = 
8√2 -10√2 + 39√2 - 75√2 - 54√2 = 
- 2√2 - 36√2 - 54√2 =
- 38√2 - 54√2 =
- 92√2

Answer 2

Olá,

8√2 - 5√8 + 13√18 - 15√50 - 9√72

Sabendo que:

√8 = √4×2 = √4×√2 = 2√2
√18 = √9×2 = √9×√2 = 3√2
√50 = √25×2 = √25×√2 = 5√2
√72 = √36×2 = √36×√2 = 6√2

8√2 - 5(2√2) + 13(3√2) - 15(5√2) - 9(6√2)
8√2 - 10√2 + 39√2 - 75√2 - 54√2
(8-10+39-75-54)√2
-92√2

Resposta:

-92√2