To find the square root of the given decimal numbers, we can use the following method:
(i) √2.56
We can rewrite 2.56 as 256/100. Then, √2.56 = √(256/100) = √256 / √100 = 16/10 = 1.6
(ii) √7.29
We can rewrite 7.29 as 729/100. Then, √7.29 = √(729/100) = √729 / √100 = 27/10 = 2.7
(iii) √51.84
We can rewrite 51.84 as 5184/100. Then, √51.84 = √(5184/100) = √5184 / √100 = 72/10 = 7.2
(iv) √42.25
We can rewrite 42.25 as 4225/100. Then, √42.25 = √(4225/100) = √4225 / √100 = 65/10 = 6.5
(v) √31.36
We can rewrite 31.36 as 3136/100. Then, √31.36 = √(3136/100) = √3136 / √100 = 56/10 = 5.6
Therefore, the square roots are:
(i) 1.6
(ii) 2.7
(iii) 7.2
(iv) 6.5
(v) 5.6