Questions on Algebra: Square root, cubic root, N-th root answered by real tutors!

Algebra ->  Algebra -> Questions on Algebra: Square root, cubic root, N-th root answered by real tutors!     (Log On)
Ad: Algebra Solved!™: algebra software that solves YOUR algebra homework problems with step-by-step help!


Question 153302: 7 sq rt 100
_____________ (divided by)
sq rt 500
Do I multiply both sides by sq rt 500 to get rid of it?
Does this make it 7 sq. rt. 50,000?
I am not sure how you divide using radicals. Thanks for any help!: 7 sq rt 100
_____________ (divided by)
sq rt 500
Do I multiply both sides by sq rt 500 to get rid of it?
Does this make it 7 sq. rt. 50,000?
I am not sure how you divide using radicals. Thanks for any help!
Answer by jim_thompson5910(9217) About Me  (Show Source):
You can put this solution on YOUR website!
(7*sqrt(100))/(sqrt(500)) Start with the given expression.


((7*sqrt(100))/(sqrt(500)))((sqrt(500))/(sqrt(500))) Multiply both the numerator and the denominator by sqrt(500)


(7*sqrt(100)*sqrt(500))/(sqrt(500)*sqrt(500)) Combine the fractions


(7*sqrt(50000))/(sqrt(500^2)) Combine and multiply the roots.


(7*sqrt(50000))/(500) Take the square root of 500^2 to get 500


(7*100*sqrt(5))/(500) Simplify sqrt(50000) to get 100*sqrt(5)


(700*sqrt(5))/(500) Multiply


(7*sqrt(5))/(5) Reduce



So (7*sqrt(100))/(sqrt(500))=(7*sqrt(5))/(5)