SOLUTION: It would be greatly appreciated if you would be able to help me with: √70 ÷ √10 = ? I've made an attempt at rationalizing √10 to obtain √700/10. I'm n

Algebra ->  Radicals -> SOLUTION: It would be greatly appreciated if you would be able to help me with: √70 ÷ √10 = ? I've made an attempt at rationalizing √10 to obtain √700/10. I'm n      Log On


   

Question 876426: It would be greatly appreciated if you would be able to help me with:
√70 ÷ √10 = ?
I've made an attempt at rationalizing √10 to obtain √700/10. I'm not sure what to do from there.
Thanks for the help!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify sqrt%28700%29 to get


sqrt%28700%29=sqrt%28100%2A7%29


sqrt%28700%29=sqrt%28100%29%2Asqrt%287%29


sqrt%28700%29=10%2Asqrt%287%29


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That means sqrt%28700%29%2F10 turns into %2810%2Asqrt%287%29%29%2F10


Those 10s will divide and cancel out to give you sqrt%287%29


That means sqrt%2870%29%2Fsqrt%2810%29+=+sqrt%287%29


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Alternative method


sqrt%2870%29%2Fsqrt%2810%29+=+sqrt%2870%2F10%29+=+sqrt%287%29


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Either way, the final answer is sqrt%287%29