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Geometrical Method to Find Square Root of a Number

Simplify : 5 ...

Question

Simplify : $5 \sqrt[3]{250} + 7 \sqrt[3]{16} - 14 \sqrt[3]{54}$

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Solution

$5 \sqrt[3]{250} + 7 \sqrt[3]{16} - 14 \sqrt[3]{54}$

$= 5 \sqrt[3]{250} + 7 \sqrt[3]{16} - 14 \sqrt[3]{54}$

$= 5 \times 5 \sqrt[3]{2} + 7 \times 2 \sqrt[3]{2} - 14 \times 3 \times \sqrt[3]{2}$

$= (25 + 14 - 42) \sqrt[3]{2}$

$= - 3 \sqrt[3]{2}$

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