Final answer:
The expression 6√20 - 3√8 simplifies to 12√5 - 6√2 in simplest radical form.
Step-by-step explanation:
To simplify the expression 6√20 - 3√8 into simplest radical form, we first need to reduce the square roots. The √20 can be simplified as 2√5 because 20 equals 4*5 and the square root of 4 is 2. Similarly, √8 can be simplified as √(4*2), which equals 2√2. So now the expression turns into 6 * 2√5 - 3 * 2√2, which simplifies to 12√5 - 6√2.
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