SOLUTION: 1/3 square root 27 + square root 8 + square root 300 - square root 18 - square root 162
Algebra
->
Square-cubic-other-roots
-> SOLUTION: 1/3 square root 27 + square root 8 + square root 300 - square root 18 - square root 162
Log On
Algebra: Square root, cubic root, N-th root
Section
Solvers
Solvers
Lessons
Lessons
Answers archive
Answers
Click here to see ALL problems on Square-cubic-other-roots
Question 83356
:
1/3 square root 27 + square root 8 + square root 300 - square root 18 - square root 162
Answer by
uma(370)
(
Show Source
):
You can
put this solution on YOUR website!
1/3 square root 27 + square root 8 + square root 300 - square root 18 - square root 162
= 1/3 sqrt(9*3) + sqrt(4*2) + sqrt(100*3) - sqt(9*2) - sqrt(81*2)
= 1/3sqrt(9)*sqrt(3) + sqrt(4)*sqrt(2) + sqrt(100)*sqrt(3) - sqrt(9)*sqrt(2) - sqrt(81)*sqrt(2)
= 1/3 *3*sqrt(3) + 2sqrt(2) + 10sqrt(3) - 3sqrt(2) - 9sqrt(2)
= sqrt(3) +10sqrt(3) + 2sqrt(2) - 3sqrt(2) - 9sqrt(2)
= 11sqrt(3) - 10sqrt(2)