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Like radical terms are the same type of root with the same radicands. (The expression inside a radical is called a radicand.). Your terms are both square roots but their radicands, 75 and 3, are different. So we cannot add them.
However, the radicand of one of your square roots has a perfect square factor (other than 1) so it will simplify:
Using a property of radicals,
, to split the square root of the product into the product of the square roots of the factors:
The square root of the perfect square simplifies:
Now that we have simplified the square roots, take another look. The terms are now like terms! So we can add them now.
Exactly like 5x + x = 6x:
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