Question

considere os seguinte valores usando esses valores. simplifique os radical e de o valor de cada um na forma decimal
$\sqrt{50 = \: \sqrt{80 = \: \sqrt{200 = } } }$
​

Answer 1

$\sqrt{50\sqrt{80\sqrt{200}}}=10\sqrt{10}\sqrt{2^{\frac{3}{4}}}\quad \\\\left(\mathrm{Decimal:\quad }\:41.0096675249\dots \right)\\\\\sqrt{80\sqrt{200}}=20\cdot \:2^{\frac{3}{4}}\\\\\sqrt{50\cdot \:20\cdot \:2^{\frac{3}{4}}}\\\\\sqrt{1000\cdot \:2^{\frac{3}{4}}}\\\\\sqrt{1000}\sqrt{2^{\frac{3}{4}}}\\\\\sqrt{1000}=10\sqrt{10}\\\\10\sqrt{10}\sqrt{2^{\frac{3}{4}}}$

espero ter ajudado :3