Homework Help

What is 3√2 + √8 expressed in simplest radical form?

user profile pic

steven13 | Student, Grade 9 | (Level 2) Honors

Posted June 8, 2011 at 10:52 AM via web

dislike 0 like

What is 3√2 + √8 expressed in simplest radical form?

1 Answer | Add Yours

user profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted June 8, 2011 at 11:00 AM (Answer #1)

dislike 0 like

3*sqrt 2 + sqrt 8 has to be expressed in a simple form.

8 = 2^3

sqrt 8 = (2^3)^(1/2)

= (2^2)^(1/2)*2^(1/2)

= 2*2^(1/2)

= 2*sqrt 2

3*sqrt 2 + sqrt 8

= 3*sqrt 2 + 2*sqrt 2

factor out the sqrt 2

= (3 + 2)*sqrt 2

= 5*sqrt 2

The required result is 5*sqrt 2

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes