rad 12 - 3 rad 3
rad 12 = rad(4*3) = rad (4) * rad(3) = 2 rad 3
2 rad 3 - 3 rad 3
= - rad 3
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Start by finding a common denominator. If the radical includes the entire fraction (3/4 for the first part), the common denominator would be square root of 12.
3 - (-12) = 3 + 12 = 15.
2√20 - 3√7 - 2√5 + 4√63 = 2√(4 x 5) - 3√7 - 2√5 + 4√(9 x 7) = 4√5 - 2√5 - 3√7 + 12√7 = 2√5 + 9√7
4 x2
If we read this carefully, what you're asking for is (4 of something) minus (1 of the same thing). The result is 3 of them . . . 3 radical 6.