sqaure root of 78 with work

Mathematics · Middle School · Mon Jan 18 2021

Answered on

√78 = 8.83176086632785

Proof that the square root of 78 is 8.83176086632785

The square root of 78 is defined as the only positive real number such that, multiplied by itself, it is equal to 78.

The square root of 78 can be written as (78)1/2. So,

(78)1/2 = (8.83176086632785 × 8.83176086632785)1/2

(78)1/2 = [(8.83176086632785)2]1/2

(78)1/2 = (8.83176086632785)2/2

(78)1/2 = (8.83176086632785)1

Thus,

√78 = 8.83176086632785