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Conversion of Units

12^¼ × 3^¼ ÷ ...

Question

12^¼ × 3^¼ ÷ 3^½ is equal to

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Q. The value of

2 \sqrt{3} - 3 \sqrt{12} + 5 \sqrt{75}

\sqrt[2010]{2 \sqrt{7} - 3 \sqrt{3}} \times \sqrt[4020]{55 + 12 \sqrt{21}}

Q. The value of

lim x \to \sqrt{3} \frac{x^{2} - 3}{x^{2} + 3 \sqrt{3} x - 12}

lim x \to 1 \frac{\sqrt[3]{x^{2}} - 2 \sqrt[3]{x} + 1}{(x - 1)^{2}}

lim x \to 1 \frac{\sqrt[3]{x^{2}} - 2. \sqrt[3]{x} + 1}{(x - 1)^{2}}

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