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HorseCrazyGirlForever
 2 years ago
Solve the following roots. Please explain the steps.
HorseCrazyGirlForever
 2 years ago
Solve the following roots. Please explain the steps.

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HorseCrazyGirlForever
 2 years ago
Best ResponseYou've already chosen the best response.1\[\sqrt{54}\]

HorseCrazyGirlForever
 2 years ago
Best ResponseYou've already chosen the best response.1\[\sqrt{60}\]

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1I'll do the first one to get you started

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1The idea is to factor the radicand into two factors where one factor is a perfect square (the largest perfect square possible)

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1Then you break up the root and simplify

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1\[\Large \sqrt{54} = \sqrt{9*6}\] \[\Large \sqrt{54} = \sqrt{9}*\sqrt{6}\] \[\Large \sqrt{54} = 3\sqrt{6}\]

HorseCrazyGirlForever
 2 years ago
Best ResponseYou've already chosen the best response.1omg thank you so much!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

HorseCrazyGirlForever
 2 years ago
Best ResponseYou've already chosen the best response.1So \[\sqrt{60}= 3\sqrt{10}\]

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1keep in mind that 60 = 4*15

HorseCrazyGirlForever
 2 years ago
Best ResponseYou've already chosen the best response.1So the answer is \[2\sqrt{15}\]

HorseCrazyGirlForever
 2 years ago
Best ResponseYou've already chosen the best response.1YUS! Victory dance! Thank you so much! You are the most helpful person I have met on here! I cannot thank you enough! I was being made fun of for not being able to do these problems... You changed my life! Literally! Now I won't fail 7th grade! Thank you SO much again! I wish I could give you more medals!

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1yw, glad to be of help

HorseCrazyGirlForever
 2 years ago
Best ResponseYou've already chosen the best response.1So I am looking for the biggest possible number to go into it? Like \[\sqrt{64} = 2\sqrt{16}\]

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.164 is a perfect square

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1since 8^2 = 64 or 8*8 = 64

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1so \[\Large \sqrt{64} = 8\]

HorseCrazyGirlForever
 2 years ago
Best ResponseYou've already chosen the best response.1Ohhh ok! I get it now! Thank you SO much!

HorseCrazyGirlForever
 2 years ago
Best ResponseYou've already chosen the best response.1\[\sqrt{72}= 2\sqrt{18}\]

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1find the largest perfect square that is a factor of 72

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1the perfect squares (up to 100) are: 1,4,9,16,25,36,49,64,81,100

HorseCrazyGirlForever
 2 years ago
Best ResponseYou've already chosen the best response.1So I have to use a perfect square every time?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1yes, you have to factor the number into two numbers where one number is the largest perfect square possible

HorseCrazyGirlForever
 2 years ago
Best ResponseYou've already chosen the best response.1Wow! My mom could never explain as good as you do! lol! I will let you know if I need anymore help! :D Again, I cannot thank you enough! I will forever be in your debt!

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1sure thing, again glad to be of help
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