Question

A soma S é dada por:

S = √2 + √8 +2√2 + 2√8 + 3√2 + 3√8 + 4√2 + 4√8 + 5√2 + 5√8

Dessa forma, S é igual a

Answer 1

S = √2 + √8 + 2√2 + 2√8 + 3√2 + 3√8 + 4√2 + 4√8 + 5√2 + 5√8
S = √2 + √2³ + 2√2 + 2√2³ + 3√2 + 3√2³ + 4√2 + 4√2³ + 5√2 + 5√2³
S = √2 + 2√2 + 2√2 + 2.2√2 + 3√2 + 3.2√2 + 4√2 + 4.2√2 + 5√2 + 5.2√2
S = √2 + 2√2 + 2√2 + 4√2 + 3√2 + 6√2 + 4√2 + 8√2 + 5√2 + 10√2
S = 3√2 + 6√2 + 9√2 + 12√2 + 15√2
S = 9√2 + 21√2 + 15√2
S = 30√2 + 15√2
S = 45√2