anonymous
  • anonymous
Simplifying Radicals 1. 2√125 2. 5√60 3. √y^4 4. √x^2y 5. √50a^8 6. √12a^3b^6
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
factorize the number inside the radical
anonymous
  • anonymous
how do i do that? find the square root? @idvez
anonymous
  • anonymous
lets take the first 125, what are the factors of 125?

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anonymous
  • anonymous
11.18033989 @idvez
anonymous
  • anonymous
factor of a number is when you multiply two other numbers to give you the initial one for example 4 factors into 2 and 2, because 2*2 =4
anonymous
  • anonymous
so what two numbers can you multiply to give you 125
anonymous
  • anonymous
1,5,25 @idvez
anonymous
  • anonymous
correct
anonymous
  • anonymous
so lets rewrite 125 under the radical as \[2\sqrt{5*25*1}=2\sqrt{5*25}\]
anonymous
  • anonymous
so far so good?
anonymous
  • anonymous
kind of
anonymous
  • anonymous
what is confusing you?
anonymous
  • anonymous
like the whole factoring in general
anonymous
  • anonymous
i took your first problem \[2\sqrt{125}\] and replace 125 with the factor you gave me, ant the end i did not writhe 1 because any number multiplied by one is the same number
anonymous
  • anonymous
ok... lets take another number 36, what are the factor of 36
anonymous
  • anonymous
i like to start always with one, what number do i have to multiply 1 by to get 36?
anonymous
  • anonymous
for future reference factors of 36 1 and 36 2 and 18 3 and 12 4 and 9 6 and 6 factors:1,2,3,4,6,36,18,12,9
anonymous
  • anonymous
get very conformable breaking a number into its factor as this will help you tremendously for the kind of problems you were asking...
anonymous
  • anonymous
the next step after you factorize the number under the radical,is to see if you can take any factors out of the radical, you can do that by further factorizing into prime factors or by knowing some simple square roots such as sqrt(25)=5

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