Find the value of (3√(125/27) - 3√(512/729)) 3√(64/5832) is Option 1: 2.5 Option 2: 3.5 Option 3: 4.5 Option 4: 5.5

Answer: 3.5. Solution: 3√(125/27) = 5/3, 3√(512/729) = 8/9, 3√(64/5832) = 4/18 = 2/9. So (5/3 - 8/9) 2/9 = 7/9 x 9/2 = 7/2 = 3.5.

Quantitative Reasoning

Number System

Medium

Find the value of $\left(\sqrt[3]{\frac{125}{27}} - \sqrt[3]{\frac{512}{729}}\right) \div \sqrt[3]{\frac{64}{5832}}$ is

2.5

3.5

4.5

5.5

✅ Correct Option: 2

$\sqrt[3]{\frac{125}{27}} = \frac{5}{3}$ , $\sqrt[3]{\frac{512}{729}} = \frac{8}{9}$ , $\sqrt[3]{\frac{64}{5832}} = \frac{4}{18} = \frac{2}{9}$ . So $\left(\frac{5}{3} - \frac{8}{9}\right) \div \frac{2}{9} = \frac{7}{9} \times \frac{9}{2} = \frac{7}{2} = 3.5$ .

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Solution

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Find the value of $\left(\sqrt[3]{\frac{125}{27}} - \sqrt[3]{\frac{512}{729}}\right) \div \sqrt[3]{\frac{64}{5832}}$ is