Question #f10c0

1 Answer
Feb 2, 2018

sqrt(56)/sqrt(7)=2sqrt(2)

Explanation:

As long as you keep the numbers under the radicals, it's fine to perform multiplication and division with the numbers under the same kind of radical (square roots with square roots, cube roots with cube roots, etc.)
Since 56/7=8,

sqrt(56)/sqrt(7)=sqrt(8)

Simplify sqrt (8) by breaking it into factors:
sqrt (8)=sqrt(4*2). Since sqrt(4)=2, we can pull 2 out of the radical and rewrite sqrt (8) as 2sqrt(2)