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Integration of Irrational Algebraic Fractions - 2

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Question

Solve: $\sqrt[3]{3.3612 \times 10^{- 23}}$

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Solution

Given,

$\sqrt[3]{3.3612 \times 10^{- 23}}$

$\sqrt[3]{33.612 \times 10^{- 24}}$

$\sqrt[3]{3.3612} \times 10^{- 8}$

$(3.22)^{3} = 33.38$

$(3.23)^{3} = 33.69$

$(3.22)^{3} = 33.38 \approx 33.612$

$∴ \sqrt[3]{3.3612 \times 10^{- 23}} = 3.22 \times 10^{- 8}$

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