Question

3 underroot 2×4 underroot 2×12 underroot 32=????​

Answer 1

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}3

2

×4

2

×12

32

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

32

=

16×2

=4

2

So, it becomes,

\begin{gathered}3\sqrt{2}\times 4\sqrt{2}\times 12\times 4\sqrt{2}\\\\=576\times 2\sqrt{2}\\\\=1152\sqrt{2}\end{gathered}

3

2

×4

2

×12×4

2

=576×2

2

=1152

2

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

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