anonymous
  • anonymous
can someone help me work through the rest of this problem(will fan+medal)
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[\sqrt{10}*\sqrt{8}\]
anonymous
  • anonymous
i got it down to \[2\sqrt{2}*\sqrt{5}\]
anonymous
  • anonymous

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anonymous
  • anonymous
well, not quite... \[\sqrt{10}\cdot \sqrt{8}=\left( \sqrt{5}\cdot \sqrt{2} \right)\cdot\left( \sqrt{4}\cdot \sqrt{2} \right)= \sqrt{4}\cdot \sqrt{2}\cdot \sqrt{2}\cdot \sqrt{5}\]Can you reduce from here?
anonymous
  • anonymous
umm can u combine \[\sqrt{2}\sqrt{2}=\sqrt{4}\]
anonymous
  • anonymous
yep...
anonymous
  • anonymous
ok i think i can work the rest out thanks
anonymous
  • anonymous
do you understand why?
anonymous
  • anonymous
i think because theyre the same
anonymous
  • anonymous
wait wouldnt it equal 2
anonymous
  • anonymous
\[\sqrt{a}\cdot \sqrt{b}=\sqrt{a\cdot b}\] property of roots
anonymous
  • anonymous
so..\[\sqrt{4}\]
anonymous
  • anonymous
yes, but \[\sqrt{4}=2 \text{ and } \sqrt{2}\cdot \sqrt{2}=\left( \sqrt{2} \right)^2 = 2\]
anonymous
  • anonymous
oh ok thanks for explaining : )
anonymous
  • anonymous
https://www.mathsisfun.com/algebra/exponent-laws.html have a look...
anonymous
  • anonymous
ok i will

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