Question

evaluate √11.2 correct to two places of decimal ( using long division method )​

Answer 1

Answer:

√11.2 = 3.3466401061363

Step-by-step explanation:

 The square root of 11.2 is defined as the only positive real number such that, multiplied by itself, it is equal to 11.2.

The square root of 11.2 can be written as (11.2)1/2. So,

(11.2)1/2 = (3.3466401061363 × 3.3466401061363)1/2

(11.2)1/2 = [(3.3466401061363)2]1/2

(11.2)1/2 = (3.3466401061363)2/2

(11.2)1/2 = (3.3466401061363)1

Thus,

√11.2 = 3.3466401061363