Question

1- Simplifique as expressões abaixo, explicando passo a passo do desenvolvimento:

a)7√2-3√8+4√18 - 17√50-8√2 =​

Answer 1

Resposta:

$\Large\green{\bf -80\sqrt{2}}$

Explicação passo-a-passo:

$7 \sqrt{2} - 3 \sqrt{8} + 4 \sqrt{18} - 17 \sqrt{50} - 8 \sqrt{2} =\\ \\= 7 \sqrt{2} - 3 \sqrt{ { \blue{2}}^{2} \sdot2 } + 4 \sqrt{ { \blue{3}}^{2} \sdot2 } - 17 \sqrt{ { \blue{5}}^{2} \sdot2} - 8 \sqrt{2} \\ \\ =7 \purple{\sqrt{2}} - 3 \sdot2 \purple{\sqrt{2}} + 4 \sdot3 \purple{ \sqrt{2} } - 17 \sdot5 \purple{\sqrt{2} } - 8 \purple{\sqrt{2} } \\ \\ = 7 \purple{\sqrt{2}} -6\purple{\sqrt{2}} +12 \purple{ \sqrt{2} } - 85 \purple{\sqrt{2} } - 8 \purple{\sqrt{2} } \\ \\ = (7 - 6 + 12 - 85 - 8) \purple{ \sqrt{2} } \\ \\= (7 + 12 - 6 - 85 - 8) \sqrt{2} \\ \\ = (19 - 99) \sqrt{2} \\ \\ = \Large \boxed{ \green{\bf - 80 \sqrt{2} }} \\ \\ \Large \boxed{ \underline{ \blue{ \bf \: Bons \: Estudos!}12/05/2021}}$