Here's the question you clicked on:
HorseCrazyGirlForever
Solve the following roots. Please explain the steps.
\[\sqrt{54}\]
\[\sqrt{60}\]
I'll do the first one to get you started
The idea is to factor the radicand into two factors where one factor is a perfect square (the largest perfect square possible)
Then you break up the root and simplify
\[\Large \sqrt{54} = \sqrt{9*6}\] \[\Large \sqrt{54} = \sqrt{9}*\sqrt{6}\] \[\Large \sqrt{54} = 3\sqrt{6}\]
omg thank you so much!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
So \[\sqrt{60}= 3\sqrt{10}\]
keep in mind that 60 = 4*15
So the answer is \[2\sqrt{15}\]
YUS! 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!
yw, glad to be of help
So I am looking for the biggest possible number to go into it? Like \[\sqrt{64} = 2\sqrt{16}\]
64 is a perfect square
since 8^2 = 64 or 8*8 = 64
so \[\Large \sqrt{64} = 8\]
Ohhh ok! I get it now! Thank you SO much!
\[\sqrt{72}= 2\sqrt{18}\]
find the largest perfect square that is a factor of 72
the perfect squares (up to 100) are: 1,4,9,16,25,36,49,64,81,100
So I have to use a perfect square every time?
yes, you have to factor the number into two numbers where one number is the largest perfect square possible
Wow! 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!
sure thing, again glad to be of help