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Answer:

1. [tex]16\sqrt{3}[/tex]

Step-by-step explanation:

[tex]4\sqrt{2}*2\sqrt{6} =4*2\sqrt{2*6} =8\sqrt{12} = 8*2\sqrt{3} = 16\sqrt{3}.[/tex]

The multiplication or product of the two numbers 4√2 and 2√6 is 16√3 option (1) is correct.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have two numbers:

4√2 and 2√6

From the arithmetic operation we can multiply two numbers:

= 4√2x2√6

Here sign x represents the multiplication.

As we know, the number expression can be defined as the combination of constants and variables with mathematical operators.

√2x√6 = √(2x6) = √12

√12 = √(2x2x3)

√12 = 2√3

= 4√2x2√6

= 4x2√(2x6)

= 8√12

= 8(2√3)

= 16√3

Thus, the multiplication or product of the two numbers 4√2 and 2√6 is 16√3 option (1) is correct.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

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