# #2 Simplifying Radicals

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• Sep 14th 2007, 03:06 PM
Jonboy
#2 Simplifying Radicals
Please check my work here. I like my method, I don't want fractions instead of radicals.

The prob is: $2\sqrt[3]{8x^2}\,+\,5\sqrt[3]{27x^2}\,-\,3\sqrt{x^3}$

That simplifies to $4\sqrt[3]{x^2} + 15\sqrt[3]{x^2}\,-\,3x\sqrt{x}\;=\;\boxed{19\sqrt[3]{x^2}\,-\,3x\sqrt{x}}$

Lookin' good?
• Sep 14th 2007, 03:22 PM
Jhevon
Quote:

Originally Posted by Jonboy
Please check my work here. I like my method, I don't want fractions instead of radicals.

The prob is: $2\sqrt[3]{8x^2}\,+\,5\sqrt[3]{27x^2}\,-\,3\sqrt{x^3}$

That simplifies to $4\sqrt[3]{x^2} + 15\sqrt[3]{x^2}\,-\,3x\sqrt{x}\;=\;\boxed{19\sqrt[3]{x^2}\,-\,3x\sqrt{x}}$

Lookin' good?

looks fine. still don't like that the x's in the last term are in separate places, but in some sense it is simpler i guess
• Mar 28th 2013, 09:00 PM
ibdutt
Re: #2 Simplifying Radicals
You are right , one can go a step further write the last term as square-root of x^3 for similarity.
• Mar 29th 2013, 05:36 AM
vicwilson123
Re: #2 Simplifying Radicals