Simplify the product 3- 2 - 4- 2 - 1 2 - 3 2

3√(2)· #10;4√(2)· #10;12√(32) =144·(√(2)·√(2))·√(16·2) =1152√(2) ...

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Number Theory: Interesting Results

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Question

Simplify the product $3 \sqrt{2} \cdot 4 \sqrt{2} \cdot 12 \sqrt{32}$

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Solution

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= 3 \times \sqrt{2} \times 4 \sqrt{2} \times 12 \sqrt{32}

Simplify:

(1) $2 + (- 4) - (+ 3)$

(2) $- 5 + 4 - (- 2)$

(3) $10 + (- 5) - (- 4)$

(4) $12 - (+ 6) + (- 3)$

(5) $- 15 + (- 4) - (+ 3)$

\sqrt[3]{2} . \sqrt[4]{2} . \sqrt[12]{32}

\frac{3 + \sqrt{6}}{5 \sqrt{3} - 2 \sqrt{12} - \sqrt{32} + \sqrt{50}}

(3 \sqrt{2} + 2 \sqrt{3}) (2 \sqrt{3} - 4 \sqrt{2})

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