Question

The product of 2 √3 and 3 √12 simplified form is...

Answer 1

Greetings!

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.

Hope this helps!