Question

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

Answer 1

Answer:

11.2 = 3.3466401061363

Proof that the square root of 11.2 is 3.3466401061363

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