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√32 * √20 = √(32*20) = √(640) = √(2*2*160) = 2√(160) = 2√(2*2*40) = 4√(40) = 4√(2*2*10) = 8√10
√32 = √(16 x 2)= √16 x √2= 4 √2
four under root 2
It is a root of a number where that root cannot be made into a rational number. For example, the cuberoot(27/64) is 3/4 and so is not a radical but cuberoot(32/64) = cuberoot(1/2) = 3√(1/2) cannot be simplified or rationalised further.