# radical/ surd simplification to a product of an interger

• Apr 17th 2013, 03:39 PM
unkle
radical/ surd simplification to a product of an interger
10√39×√26 hi to all the surd /radical needs to be simplified as a product of an integer and a surd in its simplest form easy on the calculator but need help writing it out if I had a model/method I could rely it would help for future reference I could reciprocate some help somewhere I.E Microsoft mathematics math app this is the surd/radical 10√39×√26 many thanks in advance.(Clapping)
• Apr 17th 2013, 03:53 PM
Plato
Re: radical/ surd simplification to a product of an interger
Quote:

Originally Posted by unkle
10√39×√26 hi to all the surd /radical needs to be simplified as a product of an integer and a surd in its simplest form easy on the calculator but need help writing it out if I had a model/method I could rely it would help for future reference I could reciprocate some help somewhere I.E Microsoft mathematics math app this is the surd/radical 10√39×√26 many thanks in advance.

$\displaystyle 10\sqrt{39}\cdot\sqrt{26}=10\sqrt{3\cdot 13}\cdot\sqrt{2\cdot 13}=130\sqrt{6}$
• Apr 17th 2013, 03:56 PM
MarkFL
Re: radical/ surd simplification to a product of an interger
i would simplify that as follows:

$\displaystyle 10\sqrt{39}\sqrt{26}=10\sqrt{39\cdot26}=10\sqrt{3 \cdot13\cdot2\cdot13}=$

$\displaystyle 10\sqrt{6\cdot13^2}=10\cdot13\cdot\sqrt{6}=130 \sqrt{6}$
• Apr 17th 2013, 04:29 PM
unkle
Re: radical/ surd simplification to a product of an interger
many thanks I have two responses here is where the language of maths is as fundamental as it gets< I need to simplify the surd/radical by writing it as a product of an integer and a surd in its simplest form> the language in maths for our readers and myself is fun many thanks for any more answers