1.Find two integers whose values lie between√10 and√50.
2.Consider the expression (√a+√b)^2,where a and b are not perfect squares.Find two possible sets of the values of a and b such that of the expression is a rational number.
有理數及無理數2題
2009-08-04 10:23 pm
回答 (1)
2009-08-04 10:35 pm
✔ 最佳答案
1. 4, 5, 6 or 7.2. (sqrt a + sqrt b)^2 is rational if sqrt(ab) is a perfect square.
so a = 2 and b = 8 ( sqrt ab = sqrt 16 = 4)
a = 3 and b = 27 (sqrt ab = sqrt 81 = 9)
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