Question

K² = 76What is the answer?​

Answer 1

Answer:

± 8.7178 or ± the square root of 19

Step-by-step explanation:

Solve  :    k2-76 = 0

Add  76  to both sides of the equation :

                     k2 = 76

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:  

                     k  =  ± √ 76  

Can  √ 76 be simplified ?

Yes!   The prime factorization of  76   is

  2•2•19

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 76   =  √ 2•2•19   =

               ±  2 • √ 19

The equation has two real solutions  

These solutions are  k = 2 • ± √19 = ± 8.7178  

Answer 2

Answer:

k = 2 √ 19 , − 2 √ 19

Step-by-step explanation:

Take the root of both sides and solve.