give five examples of compound surd
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1. Arrange the following simple surds descending order.
3–√2, 9–√3,60−−√4
Solution:
The given surds are 3–√2, 5–√3, 12−−√4.
The surds are in the order of 2, 3, and 4 respectively. If we need to compare their values, we need to express them in same order. As the LCM of 2, 3, and 4 is 12, we should express the surds in order 12.
3–√2 = 312 = 3612= 729112 = 729−−−√12
5–√3 = 513 = 5412= 625112 = 625−−−√12
12−−√4 = 1214 = 12312 = 1728112 = 1728−−−−√12
Hence the descending order of the given surds is 12−−√4, 3–√2, 5–√3.
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Answer:
√2,7√3,2√a,4√6 and m3√n
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