Resposta:
Dica: resolva as raízes da direita pra esquerda.
[tex]\sf\Big(\sqrt{98+\sqrt{4}}\Big)\cdot\bigg(\sqrt{119+\sqrt{1+\sqrt{5+\sqrt{16}}}}\bigg)=\Big(\sqrt{98+2}\Big)\cdot\bigg(\sqrt{119+\sqrt{1+\sqrt{5+4}}}\bigg)[/tex]][tex]\sf\Big(\sqrt{98+\sqrt{4}}\Big)\cdot\bigg(\sqrt{119+\sqrt{1+\sqrt{5+\sqrt{16}}}}\bigg)=\Big(\sqrt{100}\Big)\cdot\bigg(\sqrt{119+\sqrt{1+\sqrt{9}}}\bigg)[/tex]
[tex]\sf\Big(\sqrt{98+\sqrt{4}}\Big)\cdot\bigg(\sqrt{119+\sqrt{1+\sqrt{5+\sqrt{16}}}}\bigg)=(10)\cdot\Big(\sqrt{119+\sqrt{1+3}}\Big)[/tex]
[tex]\sf\Big(\sqrt{98+\sqrt{4}}\Big)\cdot\bigg(\sqrt{119+\sqrt{1+\sqrt{5+\sqrt{16}}}}\bigg)=(10)\cdot\Big(\sqrt{119+\sqrt{4}}\Big)[/tex]
[tex]\sf\Big(\sqrt{98+\sqrt{4}}\Big)\cdot\bigg(\sqrt{119+\sqrt{1+\sqrt{5+\sqrt{16}}}}\bigg)=(10)\cdot\big(\sqrt{119+2}\big)[/tex]
[tex]\sf\Big(\sqrt{98+\sqrt{4}}\Big)\cdot\bigg(\sqrt{119+\sqrt{1+\sqrt{5+\sqrt{16}}}}\bigg)=(10)\cdot\big(\sqrt{121}\big)[/tex]
[tex]\sf\Big(\sqrt{98+\sqrt{4}}\Big)\cdot\bigg(\sqrt{119+\sqrt{1+\sqrt{5+\sqrt{16}}}}\bigg)=(10)\cdot(11)[/tex]
[tex]\red{\sf\Big(\sqrt{98+\sqrt{4}}\Big)\cdot\bigg(\sqrt{119+\sqrt{1+\sqrt{5+\sqrt{16}}}}\bigg)=110}[/tex]
Letra D
Copyright © 2024 ELIBRARY.TIPS - All rights reserved.
Lista de comentários
Resposta:
Dica: resolva as raízes da direita pra esquerda.
[tex]\sf\Big(\sqrt{98+\sqrt{4}}\Big)\cdot\bigg(\sqrt{119+\sqrt{1+\sqrt{5+\sqrt{16}}}}\bigg)=\Big(\sqrt{98+2}\Big)\cdot\bigg(\sqrt{119+\sqrt{1+\sqrt{5+4}}}\bigg)[/tex]][tex]\sf\Big(\sqrt{98+\sqrt{4}}\Big)\cdot\bigg(\sqrt{119+\sqrt{1+\sqrt{5+\sqrt{16}}}}\bigg)=\Big(\sqrt{100}\Big)\cdot\bigg(\sqrt{119+\sqrt{1+\sqrt{9}}}\bigg)[/tex]
[tex]\sf\Big(\sqrt{98+\sqrt{4}}\Big)\cdot\bigg(\sqrt{119+\sqrt{1+\sqrt{5+\sqrt{16}}}}\bigg)=(10)\cdot\Big(\sqrt{119+\sqrt{1+3}}\Big)[/tex]
[tex]\sf\Big(\sqrt{98+\sqrt{4}}\Big)\cdot\bigg(\sqrt{119+\sqrt{1+\sqrt{5+\sqrt{16}}}}\bigg)=(10)\cdot\Big(\sqrt{119+\sqrt{4}}\Big)[/tex]
[tex]\sf\Big(\sqrt{98+\sqrt{4}}\Big)\cdot\bigg(\sqrt{119+\sqrt{1+\sqrt{5+\sqrt{16}}}}\bigg)=(10)\cdot\big(\sqrt{119+2}\big)[/tex]
[tex]\sf\Big(\sqrt{98+\sqrt{4}}\Big)\cdot\bigg(\sqrt{119+\sqrt{1+\sqrt{5+\sqrt{16}}}}\bigg)=(10)\cdot\big(\sqrt{121}\big)[/tex]
[tex]\sf\Big(\sqrt{98+\sqrt{4}}\Big)\cdot\bigg(\sqrt{119+\sqrt{1+\sqrt{5+\sqrt{16}}}}\bigg)=(10)\cdot(11)[/tex]
[tex]\red{\sf\Big(\sqrt{98+\sqrt{4}}\Big)\cdot\bigg(\sqrt{119+\sqrt{1+\sqrt{5+\sqrt{16}}}}\bigg)=110}[/tex]
Letra D