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which two integers is \\(\\sqrt3{15}\\) between? 9 and 10 14 and 15 10 …

Question

which two integers is \\(\sqrt3{15}\\) between? 9 and 10 14 and 15 10 and 11 2 and 3

Explanation:

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 $2 < \sqrt[3]{15} < 3$.

Answer:

D. 2 and 3