Question

Solve the following roots. Please explain the steps.

Answer 1

\[\sqrt{54}\]

Answer 2

\[\sqrt{60}\]

Answer 3

I'll do the first one to get you started

Answer 4

The idea is to factor the radicand into two factors where one factor is a perfect square (the largest perfect square possible)

Answer 5

Then you break up the root and simplify

Answer 6

\[\Large \sqrt{54} = \sqrt{9*6}\]


\[\Large \sqrt{54} = \sqrt{9}*\sqrt{6}\]


\[\Large \sqrt{54} = 3\sqrt{6}\]

Answer 7

omg thank you so much!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 8

yw

Answer 9

So \[\sqrt{60}= 3\sqrt{10}\]

Answer 10

no

Answer 11

keep in mind that 60 = 4*15

Answer 12

So the answer is \[2\sqrt{15}\]

Answer 13

good

Answer 14

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!

Answer 15

yw, glad to be of help

Answer 16

So I am looking for the biggest possible number to go into it? Like \[\sqrt{64} = 2\sqrt{16}\]

Answer 17

64 is a perfect square

Answer 18

since 8^2 = 64

or 8*8 = 64

Answer 19

so \[\Large \sqrt{64} = 8\]

Answer 20

Ohhh ok! I get it now! Thank you SO much!

Answer 21

np

Answer 22

\[\sqrt{72}= 2\sqrt{18}\]

Answer 23

find the largest perfect square that is a factor of 72

Answer 24

the perfect squares (up to 100) are:

1,4,9,16,25,36,49,64,81,100

Answer 25

So I have to use a perfect square every time?

Answer 26

yes, you have to factor the number into two numbers where one number is the largest perfect square possible

Answer 27

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!

Answer 28

sure thing, again glad to be of help