Kapalci

2022-06-24

Of the following, which is the best approximation of
$\sqrt{1.5}\left(266{\right)}^{3/2}$

### Answer & Explanation

Xzavier Shelton

$\sqrt{\frac{3}{2}}\cdot \left(\sqrt{266}{\right)}^{3}=\sqrt{\frac{3\cdot 266}{2}}\cdot \left(\sqrt{266}{\right)}^{2}=\sqrt{399}\cdot 266\approx 266\cdot 20=5320$

Ayanna Trujillo

$\sqrt{1.5}\left(266{\right)}^{3/2}\approx \sqrt{\frac{16}{9}}\left(256{\right)}^{3/2}\approx \frac{4}{3}×4096\approx 5460$
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