The product of 3 root 2 and 4 root 2 and 12 root 32 is equals to
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1152√2 is the answer of your question
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Answer:
Product\:of \: 3\sqrt{2}\times 4\sqrt{2}\times 12\sqrt{32}\\=1152
Step-by-step explanation:
Product\:of \: 3\sqrt{2}\times 4\sqrt{2}\times 12\sqrt{32}
=3\sqrt{2}\times 4\sqrt{2}\times 12\sqrt{2^{4}\times 2}
=3\sqrt{2}\times 4\sqrt{2}\times 12\times 4\sqrt{2}
=3\times 4\times 12\times 4\sqrt{2\times 2\times 2}
=576\times 2\sqrt{2}
=1152\sqrt{2}
Therefore,
Product\:of \: 3\sqrt{2}\times 4\sqrt{2}\times 12\sqrt{32}\\=1152
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