Question

3 root 2 multiply 4 root 2 multiply 12 root 32 is equal to

Answer 1

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$3 \sqrt{2} \times 4 \sqrt{2} \times 12 \sqrt{32} \\ \\ = (3 \times 4) \times (\sqrt{2} \times \sqrt{2}) \times 12 \times 4 \sqrt{2} \\ \\ = 12 \times 2 \times 12 \times 4 \sqrt{2} \\ \\ = 1152 \sqrt{2}$

Answer 2

Answer: The value of the above expression is 1152√2.

Step-by-step explanation:

Since we have given that

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

Since we can write $\sqrt{32}=\sqrt{16\times 2}=4\sqrt{2}$

So, it becomes,

$3\sqrt{2}\times 4\sqrt{2}\times 12\times 4\sqrt{2}\\\\=576\times 2\sqrt{2}\\\\=1152\sqrt{2}$

So, the value of the above expression is 1152√2.