How do you multiply radical expressions with different indices?

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Answer 1 · 2015-03-22T21:54:15

Make the indices the same (find a common index).

Example: $sqrt5*root(3)2$

The common index for 2 and 3 is the least common multiple, or 6

$sqrt5= root(6)(5^3)=root(6)125$

$root(3)2=root(6)(2^2)=root(6)4$

So
$sqrt5*root(3)2=root(6)125root(6)4=root(6)(125*4)=root(6)500$

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