Given a segment of length, show two different ways for constructing a segment of length (i) (square root of (a19)) *and (ii)a* (square root of (a2/3))

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- Oct 29th 2010, 09:23 PMMATNTRNGConstructing a Segment
Given a segment of length

, show two different ways for constructing a segment of length (i) (square root of (**a****19**)) *and (ii)**a*** (square root of (**a****2/3**)) - Oct 30th 2010, 12:40 AMOpalg
Start by assembling a checklist of techniques for constructing segments whose length is some multiple of . For example, can you construct one with length (where is a whole number)? What about ? ... or ? What about for other values of ? (Think of a right-angled triangle in which two sides are known multiples of . What will be the length of the hypotenuse?)