Evaluate each of the following-ii -1000-0-008-0-125

Step: Evaluate √(1000)+√(0.008) √(0.125) √(1000)+√(0.008) √(0.125)=√(1000)+√(81000) √(1251000) =√(1000)+√(8)√(1000) √(125)√(1000) nbsp; nbsp; nbsp;[∵ ...

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Standard VII

Mathematics

Integers

Evaluate each...

Question

Evaluate each of the following:

ii) $\sqrt[3]{1000} + \sqrt[3]{0.008} - \sqrt[3]{0.125}$

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Solution

Step: Evaluate $\sqrt[3]{1000} + \sqrt[3]{0.008} - \sqrt[3]{0.125}$

$\sqrt[3]{1000} + \sqrt[3]{0.008} - \sqrt[3]{0.125} = \sqrt[3]{1000} + \sqrt[3]{\frac{8}{1000}} - \sqrt[3]{\frac{125}{1000}}$

$= \sqrt[3]{1000} + \frac{\sqrt[3]{8}}{\sqrt[3]{1000}} - \frac{\sqrt[3]{125}}{\sqrt[3]{1000}}$ $[∵ \sqrt[3]{\frac{a}{b}} = \frac{\sqrt[3]{a}}{\sqrt[3]{b}}]$

$= \sqrt[3]{1000} + \frac{\sqrt[3]{(2 \times 2 \times 2)}}{\sqrt[3]{10 \times 10 \times 10}} - \frac{\sqrt[3]{(5 \times 5 \times 5)}}{\sqrt[3]{10 \times 10 \times 10}}$

$= 10 + \frac{2}{10} - \frac{5}{10}$

$= 10 + 0.2 - 0.5$

$= 9.7$

Hence, the value of $\sqrt[3]{1000} + \sqrt[3]{0.008} - \sqrt[3]{0.125}$
is $9.7$ .

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Integers

Standard VII Mathematics

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Evaluate each of the following: ii) 3√1000+3√0.008−3√0.125

Evaluate each of the following:

ii) $\sqrt[3]{1000} + \sqrt[3]{0.008} - \sqrt[3]{0.125}$