Find the value of -0-729-0-027-43-512

The correct option is C 11 The given expression is √(0.729)/√(0.027) + (4)^3/√(512) = √(0.729)/√(0.027) + (4)^3/√(512) = √(729/1000)/√(27/1000) + 4 × 4×4/√(8 ...

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Byju's Answer

Standard VIII

Mathematics

Cube-Root of Decimal Numbers

Find the valu...

Question

Find the value of $\frac{\sqrt[3]{0.729}}{\sqrt[3]{0.027}}$ + $\frac{(4)^{3}}{\sqrt[3]{512}}$

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Solution

The correct option is C
11

The given expression is $\frac{\sqrt[3]{0.729}}{\sqrt[3]{0.027}}$ + $\frac{(4)^{3}}{\sqrt[3]{512}}$

= $\frac{\sqrt[3]{0.729}}{\sqrt[3]{0.027}}$ + $\frac{(4)^{3}}{\sqrt[3]{512}}$

= $\frac{\sqrt[3]{\frac{729}{1000}}}{\sqrt[3]{\frac{27}{1000}}}$ + $\frac{4 \times 4 \times 4}{\sqrt[3]{8 \times 8 \times 8}}$

= $\frac{\frac{9}{10}}{\frac{3}{10}}$ + $\frac{64}{8}$

= 3 + 8

= 11

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Find the value of 3√0.7293√0.027 + (4)33√512

The correct option is C 11 The given expression is 3√0.7293√0.027 + (4)33√512 = 3√0.7293√0.027 + (4)33√512 = 3√72910003√271000 + 4×4×43√8×8×8 = 910310 + 648 = 3 + 8 = 11

Find the value of $\frac{\sqrt[3]{0.729}}{\sqrt[3]{0.027}}$ + $\frac{(4)^{3}}{\sqrt[3]{512}}$