Square Root using factoring? sqrt[8x^3 + 36x^2 + 54x + 27]

[tasho]

So I'm supposed to be finding the square root of the following,
and one of the hints was that I was to factor?
I don't understand it.

8x^3 + 36x^2 + 54x + 27, all under the square root sign.

It's supposed to end up being a simple answer,
but no matter what I do I just can't get it.
Any help is much appreciated!

 

[galactus]

Re: Alg. II- Square Root using factoring?

\(\displaystyle 8x^{3}+36x^{2}+54x+27=(2x+3)^{3}\)

 

[tasho]

Re: Alg. II- Square Root using factoring?

Thank you so much!!