Ask your own question, for FREE!
Mathematics 8 Online
OpenStudy (anonymous):

ok

OpenStudy (anonymous):

Simplify each term first. Add/Subtract with radicals works like variables. Only exact same radicals can be added together. You add numbers outside the radical.

OpenStudy (anonymous):

You may not know yet, but sqrt of a variable simplifies like this: sqrt(x^4) = x^2 sqrt(x^5) = x^2 sqrt (x) sqrt(x^6) = x^3 Pattern?

OpenStudy (anonymous):

Just take half of the power. That part is the power of the variable that goes outside. Any remainder stays inside. \[\sqrt{x ^{5}}y ^{6}z ^{9} = x ^{2}y ^{3}z ^{4 } \sqrt{x}z\]

OpenStudy (anonymous):

5/2 = 2 rem 1 6/2 = 3 9/2 = 4 rem 1

OpenStudy (jhannybean):

Break down each one using this method,then combine them all

OpenStudy (jhannybean):

\[\large \sqrt {75x^2y}-\sqrt{80xy^2}-\sqrt{48x^2y}+\sqrt{20xy^2}\] let's start with \(\large \sqrt{75x^2y}\) \[\large \sqrt{75x^2y} = \sqrt{5*5 * 3*x*x*y}\] for every pair of similar numbers, pull out only 1\[\large \sqrt{75x^2y} =\color{red}{ 5x \sqrt{3y}}\]

OpenStudy (jhannybean):

do you have a calculator with you?

OpenStudy (jhannybean):

if not,your computer always will have one :) just go to the start menu > search > type in calculator, you will need one handy in order to understand how to break down a number

OpenStudy (jhannybean):

So 75 = 25 * 3, yes? think of quarters, if you have 3 quarters, it equals 75 cents ,right? :)

OpenStudy (jhannybean):

now you have 25, and that = 5*5, right?

OpenStudy (jhannybean):

what do you mean? you have to break down a number into it's multiples TILL you get down to the very bare prime factors. this is a little advanced but lets say you have the number 134, it's multipliers, or numbers that can be multiplied together to equal 134, are ONLY 1 and 134. so that means 134 is the bare minimum number

OpenStudy (jhannybean):

|dw:1370071609765:dw|

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!