Question

$5 \sqrt{16 \times 5 \sqrt{2} }$
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Answer 1

Answer:

$=20\sqrt{5}\sqrt[4]{2}$ $\approx$ 53.183

Step-by-step explanation:

$5\sqrt{16\times \:5\sqrt{2}} \\=5\sqrt{80\sqrt{2}} \\=5\sqrt{80}\sqrt{\sqrt{2}} \\5\times4\sqrt{5}\sqrt{\sqrt{2}} \\=5\times \:4\sqrt{5}\sqrt[4]{2} \\=20\sqrt{5}\sqrt[4]{2} \\ \approx 53.183$