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Evaluate the cube root of (343a3)/(b3).

July 20, 2026Mathematics

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Answer

\frac{7a}{b}

4 steps

Ili kutathmini usemi uliotolewa, tutatumia sifa za mizizi ya ujazo.

Gawanya mzizi wa ujazo kwa nambari na denominator.
$\sqrt[3]{\frac{343 a^3}{b^3}} = \frac{\sqrt[3]{343 a^3}}{\sqrt[3]{b^3}}$
Tumia sifa ya mzizi wa ujazo kwa bidhaa, $\sqrt[3]{xy} = \sqrt[3]{x} \cdot \sqrt[3]{y}$ .
$\frac{\sqrt[3]{343 a^3}}{\sqrt[3]{b^3}} = \frac{\sqrt[3]{343} \cdot \sqrt[3]{a^3}}{\sqrt[3]{b^3}}$
Tafuta mzizi wa ujazo wa kila nambari na kigezo.
Tunajua kuwa $7^3 = 343$ , hivyo $\sqrt[3]{343} = 7$ . Pia, $\sqrt[3]{x^3} = x$ .
$\frac{7 \cdot a}{b}$
Rahisisha usemi.
$\frac{7a}{b}$

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