Question

a expressão 4√80+2√125-3√5 é equivalente a

Answer 1

$4\sqrt{80} + 2\sqrt{125} -3\sqrt{5} =23\sqrt{5} \\\\2*2 = 2^2....\sqrt{2^2}=2 \\5*5=5^2....\sqrt{5^2}=5 \\\\----\\80 = 2*2*2*2*5 ........(2*2*2*2 = 16) (16*5=80)\\80 = 2^2*2^2*5\\\sqrt{80}=\sqrt{2^2*2^2*5} = 2*2*\sqrt{5}=4\sqrt{5} \\\\----\\125 = 5*5*5.......(5*5=25) (25*5=125)\\125 = 5^2*5\\\sqrt{125}=\sqrt{5^2*5} = 5\sqrt{5} \\----\\4\sqrt{80} + 2\sqrt{125} -3\sqrt{5} = \\4*4\sqrt{5} +2*5\sqrt{5} -3\sqrt{5} =\\16\sqrt{5} +10\sqrt{5}-3\sqrt{5} =\\(16+10-3)*\sqrt{5} =23\sqrt{5}$