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What is the simplest form of the radical expression?
32a−−√3−62a−−√3
To simplify the given radical expression, we can first separate the terms under the radical sign:
√(32a^3) - √(62a^3)
Next, we can simplify each radical term separately:
√(32a^3) = √(16 * 2 * a^2 * a)
= 4a√2
√(62a^3) = √(31 * 2 * a^2 * a)
= √(31) * √(2) * a
= √(31) * a * √(2)
Therefore, the simplest form of the radical expression 32a-√3-62a-√3 is:
4a√2 - √(31)a√2