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To combine these into a single radical, we will need the "roots" to match. By "roots" I mean the index on the radical. Your "roots" are currently 4 and 3.
To change the roots we will rewrite this expression using rational exponents. Since
Now that our "roots" are denominators of fractions, we can match them just like we do when we are adding fractions. (We are not actually going to add these fractions but we are going to match the denominators as if we were.) The Lowest Common Denominator is 12. So we can rewrite the fractions with denominators of 12:
Now that our "roots" are the same, let's go back to radical form, using the fact that
And with our matching roots, we can now use the property
, this simplifies to: