\( \begin{array}{l} \sqrt[3]{8}= \\ \sqrt{9}= \\ \sqrt[3]{27}= \\ \sqrt{25}=\ldots \ldots . \quad \sqrt{1}= \\ \sqrt{36}=\quad \sqrt{100}=\ldots \ldots . \sqrt[3]{04}=\ldots \ldots . \quad \sqrt[3]{1000}= \\ \sqrt[3]{1}=\quad \sqrt{81}=\ldots \ldots . \quad \sqrt{4}=\ldots \ldots . \quad \sqrt[3]{64}=\ldots \ldots \end{array} \)
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Let's calculate these values together! \(\sqrt[3]{8} = 2\) because \(2 \times 2 \times 2 = 8\). \(\sqrt{9} = 3\) since \(3 \times 3 = 9\). \(\sqrt[3]{27} = 3\) because \(3 \times 3 \times 3 = 27\). \(\sqrt{25} = 5\) as \(5 \times 5 = 25\). \(\sqrt{1} = 1\) since \(1 \times 1 = 1\). \(\sqrt{36} = 6\) because \(6 \times 6 = 36\). \(\sqrt{100} = 10\) since \(10 \times 10 = 100\). \(\sqrt[3]{4} \approx 1.587\) (approximately) because it’s not a perfect cube. \(\sqrt[3]{1000} = 10\) since \(10 \times 10 \times 10 = 1000\). \(\sqrt[3]{1} = 1\) because \(1 \times 1 \times 1 = 1\). \(\sqrt{81} = 9\) as \(9 \times 9 = 81\). \(\sqrt{4} = 2\) since \(2 \times 2 = 4\). \(\sqrt[3]{64} = 4\) because \(4 \times 4 \times 4 = 64\). Keep those numbers in mind; they are your gateways to solving more mathematical challenges!