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Question
which two integers is \\(\sqrt3{15}\\) between? 9 and 10 14 and 15 10 and 11 2 and 3
Step1: Find cube of 2
$2^3 = 2 \times 2 \times 2 = 8$
Step2: Find cube of 3
$3^3 = 3 \times 3 \times 3 = 27$
Step3: Compare values
$8 < 15 < 27$, so $\sqrt[3]{8} < \sqrt[3]{15} < \sqrt[3]{27}$, which simplifies to $2 < \sqrt[3]{15} < 3$.
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D. 2 and 3