Question

simplify the following radical:

3√72
√ = radical sign

Answer 1

18 sqrt(2)

Answer 2

3 sqrt(72)

Pull all perfect square roots out from under the radical. In this case, remove the 6 because it is a perfect square.
(3*6 sqrt(2))

Multiply 3 by 6 to get 18.
18 sqrt(2)

Hope this helps :)

Answer 3

\[3\sqrt{72}\\\\3\sqrt{36\times2}=2\sqrt{36}\sqrt{2}\\3\times6\sqrt2\\\\\boxed{18\sqrt2}\]

Answer 4

In this case, 72 can be divided by 2 into 36, which is a perfect square.
So: \[3\sqrt{72}=3\sqrt{36\times2}\]

Which then equals \[3\sqrt{36}\sqrt{2}\]

So then, you multiply 3 with the perfect square of 36, which is 6.
\[3\times6\sqrt2\]

Then, simplified, equals \[18\sqrt2\]

And that's how I got my answer *bows*