anonymous
  • anonymous
can someone please help me? i need to simplify this radical... square root of 15a^8 b
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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amistre64
  • amistre64
take out all the perfect squares
amistre64
  • amistre64
a^4 sqrt(15b)
anonymous
  • anonymous
dont you first have to find out what perfect square number times a regular number wud give you 15?

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anonymous
  • anonymous
like there is no perfect square that can be multiplied to equal 15.
anonymous
  • anonymous
\[\sqrt{15a ^8b}\]
amistre64
  • amistre64
yes; 15 has no perfect square factors :)
anonymous
  • anonymous
Okay. so what can i do?
amistre64
  • amistre64
8/2 = 4 so pull out a^4
amistre64
  • amistre64
sqrt(a^8) means a^8/2 :)
anonymous
  • anonymous
so ull end up with \[\sqrt{15a ^{4}}b\]
amistre64
  • amistre64
pull out the a's sqrt(a^8) = a^8/2 = a^4 a^4^2 = aa^8
amistre64
  • amistre64
\[a^4\sqrt{15b}\]
anonymous
  • anonymous
i got you.
anonymous
  • anonymous
so that wud be you answer.
anonymous
  • anonymous
your***?
amistre64
  • amistre64
it would; yes
anonymous
  • anonymous
thank you. so much.
amistre64
  • amistre64
yw
anonymous
  • anonymous
wait. one question. just wanted to be sure... \[\sqrt[2]{1000}\] is 100 right?

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