Question

$\sqrt{15 - \sqrt{32 + \sqrt{25 - \sqrt{81} } } }$

(Unirio-RJ) O valor de
a) 1.
e) 5.
c) 3.
d) 4.
b) 2.
​

Answer 1

Olá, boa tarde!

Resolva de "dentro pra fora".

$\sqrt{15-\sqrt{32+\sqrt{25-\sqrt{81}}}}=\\\\\sqrt{15-\sqrt{32+\sqrt{25-9}}}=\\\\\sqrt{15-\sqrt{32+\sqrt{16}}}=\\\\\sqrt{15-\sqrt{32+4}}=\\\\\sqrt{15-\sqrt{36}}=\\\\\sqrt{15-6}=\\\\\sqrt{9}=\\\\\boxed{\boxed{3}}$

Alternativa (c) 3

Espero ter esclarecido.

Bons estudos! :)