When you multiply a radical expression with two terms by its conjugate the result has no more radicals in its simplified form.

Question

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When you multiply a radical expression with two terms by its conjugate, you get a difference of squares in the result which eliminates the radical. This is because when you multiply the two conjugates, the middle terms cancel out and you are left with the square of the first term minus the square of the second term. This result can be simplified further, but it will not contain any radicals.

When You Multiply a Radical Expression with Two Terms by Its