Question

Rationalize the denominator. write it in simplest terms

   3
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√12x

Answer 1

the idea being, you multiply top and bottom by a value that will raise the radicand in the denominator, to the same as the root, thus coming out of the root, so, let's do so


`\bf \cfrac{3}{√(12x)}\cdot \cfrac{√(12x)}{√(12x)}\implies \cfrac{3√(12x)}{√((12x)^2)}\implies \cfrac{3√(12x)}{12x}\implies \cfrac{√(12x)}{4x}`