The correct option is B 126√(1372)=√(2×2×7×7×7) √(1458)=√(2×3^3×3^3) The product, √(1372)×√(1458) =2×7×3×3 =126 ...

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Exponents with Unlike Bases and Same Exponent

Evaluate: √13...

Question

Evaluate: $\sqrt[3]{1372} \times \sqrt[3]{1458}$

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126

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124

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Solution

The correct option is B 126
$\sqrt[3]{1372} = \sqrt[3]{2 \times 2 \times 7 \times 7 \times 7} \sqrt[3]{1458} = \sqrt[3]{2 \times 3^{3} \times 3^{3}} T h e p r o d u c t, \sqrt[3]{1372} \times \sqrt[3]{1458}$
$= 2 \times 7 \times 3 \times 3 = 126$

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