Evaluate- -27 - -0-008 - -0-064-

As per question, = √(27) + √(0.008) + √(0.064) = (27)^1/3 + (0.008)^1/3 + (0.064)^1/3 = (3 × 3 × 3)^1/3 + (0.2 × 0.2 × 0.2)^1/3 + (0.4 × 0.4 × 0.4)^1/3 ...

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Standard VIII

Mathematics

Cube-Root of Decimal Numbers

Evaluate: √...

Question

Evaluate: $\sqrt[3]{27} + \sqrt[3]{0.008} + \sqrt[3]{0.064}$ .

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Solution

As per question,
$= \sqrt[3]{27} + \sqrt[3]{0.008} + \sqrt[3]{0.064} = (27)^{\frac{1}{3}} + (0.008)^{\frac{1}{3}} + (0.064)^{\frac{1}{3}}$
$= (3 \times 3 \times 3)^{\frac{1}{3}} + (0.2 \times 0.2 \times 0.2)^{\frac{1}{3}} + (0.4 \times 0.4 \times 0.4)^{\frac{1}{3}}$
$= (3)^{3 \times \frac{1}{3}} + (0.2)^{3 \times \frac{1}{3}} + (0.8)^{3 \times \frac{1}{3}} = 3 + 0.2 + 0.8 = 3.6$

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Question 135

Evaluate: $\sqrt[3]{27} + \sqrt[3]{0.008} + \sqrt[3]{0.064}$

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Evaluate: $\sqrt[3]{27} + \sqrt[3]{0.008} + \sqrt[3]{0.064}$

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Evaluate: 3√27+3√0.008+3√0.064.

As per question,=3√27+3√0.008+3√0.064=(27)13+(0.008)13+(0.064)13=(3×3×3)13+(0.2×0.2×0.2)13+(0.4×0.4×0.4)13=(3)3×13+(0.2)3×13+(0.8)3×13=3+0.2+0.8=3.6

Evaluate: $\sqrt[3]{27} + \sqrt[3]{0.008} + \sqrt[3]{0.064}$ .