Question

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The product of 2/3 and 3V12 in simplified form is

Answer 1

Explanation:

When multiplying two roots together, you can rearrange the equation so that the roots are next to each other and so are the whole numbers:

2 x 3 x \sqrt{3} x \sqrt{12}

This means that 2 x 3 is simple, = 6,

But when multiplying \sqrt{3} x \sqrt{12} you simply multply the two numbers and put them in a square root:

\sqrt{3} x \sqrt{12} = \sqrt{36}

But this can be square rooted to 6, which then means that the equation is now:

2 x 3 x 6 = 36

So the simplified form is 36.