Question

give five examples of compound surd​

Answer 1

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.

Answer 2

Answer:

√2,7√3,2√a,4√6 and m3√n