oex85 wrote:Would just like an explanation for this part: 2*(8 - 3√7) = 2*(8 - √63)
3 is equivalent to √9.
Hence, 3√7 = 3*(√7) = (√9)*(√7) = √(9*7) = √63
Thus, 2*(8 - 3√7) = 2*(8 - √63)
oex85 wrote:Also, what are the pros and cons for breaking down 2√63 into 2√7x3x3=5√7 ? Is it just by choice or is there some magical way to know...?
2√63 = 2√(7*3*3) = (2*3)√7 = 6√7
We can utilize this also in the same manner.
As mentioned earlier, 2/(8 + 3√7) = 2*(8 - 3√7) = (16 - 6√7)
Hence, √[2√63 + 2/(8+3√7)] = √[6√7 + 16 - 6√7] = √16 = 4
