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)

Re: radical/ surd simplification to a product of an interger

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**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.

$\displaystyle 10\sqrt{39}\cdot\sqrt{26}=10\sqrt{3\cdot 13}\cdot\sqrt{2\cdot 13}=130\sqrt{6}$

Re: radical/ surd simplification to a product of an interger

i would simplify that as follows:

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

$\displaystyle 10\sqrt{6\cdot13^2}=10\cdot13\cdot\sqrt{6}=130 \sqrt{6}$

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