Rationalise the denominator of : 1 7 + 3 2
We have,
1 7 + 3 2 = 1 7 + 3 2 × 7 - 3 2 7 - 3 2 = 7 - 3 2 (7)2 - 3 2 = 7 - 3 2 49 - 18 = 7 - 3 2 31
Find the value to three places of decimals, of each of the following:
It is given that 2 = 1.414 , 3 = 1.732, 10 = 3.162 and 5 = 2.236 (approx.).
(i) 2 + 1 5 (ii) 2 - 3 3 (iii) 10 - 5 2