Y^{X}/√(Y) = Y^{X-1}√(Y); Y ≠ 0

2^{4}/√(2) = 16/√(2) = 8√(2) = 11.3137085...

2^{3} = 8; 4 - 1 = 3

3^{6}/√(3) = 729/√(3) = 243√(3) = 420.8883462...

3^{5} = 243; 6 - 1 = 5

5^{7}/√(5) = 78,125/√(5) = 15,625√(5) = 34,938.56215...

5^{6} = 15,625; 7 - 1 = 6

81^{3}/√(81) = 531,441/9 = 6,561 × 9 = 59,049

81^{2} = 6,561; 3 - 1 = 2

(This time, Y = 81 & that number has a rational square root, which is 9!)

Back to Index Page Back to Math Trick Menu

© Derek Cumberbatch