How do you simplify (9sqrt 2)/( 6sqrt 18)?

2 Answers
Roella W.
Feb 1, 2016

Factor all the numbers as far as possible (sqrt(2) cannot be factored) and then cancel any terms which appear on top and bottom.

Explanation:

(9sqrt(2))/(6sqrt(18)

=(3*3sqrt(2))/(3*2sqrt(3*3*2))

=(3*3sqrt(2))/(3*2*3sqrt(2))

=(cancel(3)*cancel(3)cancel(sqrt(2)))/(cancel(3)*2*cancel(3)*cancel(sqrt(2)))

=1/2

Jim G.
Feb 1, 2016

1/2

Explanation:

first simplify sqrt18 = sqrt(9 xx 2) =sqrt9 xxsqrt2 = 3sqrt2

making use of : sqrta xx sqrtb =sqrtab hArr sqrtab=sqrtaxxsqrtb

( 9sqrt2)/(6sqrt18) =( 9sqrt2)/(6xx3sqrt2)

=( 9cancel(sqrt2))/(18cancel(sqrt2)) = 9/18 = 1/2

Related questions
See all questions in Multiplication and Division of Radicals
Impact of this question
1449 views around the world
You can reuse this answer
Creative Commons License