Question

Escrev os radicais utilizando um único radical na forma mais simples

e tbm gostaria de saber passo a passo vlw


10√√2048 x 20√512

Answer 1

$(10\sqrt{\sqt{2048}})(20\sqrt{512})=(10\sqrt{\sqt{2048}})\\512=16.16.2\\2048=16.16.2.2.2\\(10\sqrt{16}\sqrt{16}.\sqrt{4}\sqrt{2})(20\sqrt{16}\sqrt{16}\sqrt{2})=(10.[4.4.2.\sqrt{2}])(20[4.4.\sqrt{2})\\=(320\sqrt{2})(320\sqrt{2})=(320\sqrt{2})^2$