anonymous
  • anonymous
Simplify the rational expression please help and explain with me?√125h^4 choices a.5h^2√5 b.25h^2√5 c.h√62.5 d.5√5h^4
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
I have a idea what to do but the power of 4 makes me get lost,
campbell_st
  • campbell_st
look at the problem this way \[\sqrt{5 \times 25 \times h^2 \times h^2}\] which terms can you take the square root of..?
anonymous
  • anonymous
25 would be 5 and wouldn't h^2 and h^2 be crossed out? still new to this

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campbell_st
  • campbell_st
well 25 to 5 is correct h^2 goes to h when you take the square root so the problem can be rewritten as \[\sqrt{5} \times \sqrt{25} \times \sqrt{h^2} \times \sqrt{h^2} = \sqrt{5} \times 5 \times h \times h\] just simplify it
anonymous
  • anonymous
you get the same as you had before= right?if to solve it
campbell_st
  • campbell_st
well it has been simplified now... all you need to do is tidy up the answer so it matches one of your choices
anonymous
  • anonymous
and how would you go about doing this?
campbell_st
  • campbell_st
ok... in bits \[\sqrt{5} \times 5 = 5 \sqrt{5}\] what does \[h \times h =\]
anonymous
  • anonymous
25 and h^2?
campbell_st
  • campbell_st
h^2 is correct so its now \[5 \times \sqrt{5} \times h^2 = 5 \times h^2 \times \sqrt{5}\] rememeber when muliplying, the order doesn't matter
anonymous
  • anonymous
can you square root 5 though is that even possible?
campbell_st
  • campbell_st
ok... the solution in correct but in algebra will normally don't write the multiplication signs when writing a term... so how can you rewrite \[5 \times h^2 \times \sqrt{5}\]
anonymous
  • anonymous
so wouldn't the answer be 5h^2√5?
campbell_st
  • campbell_st
just write it without the multiplication signs
campbell_st
  • campbell_st
that's correct
phi
  • phi
\( \sqrt{5} \) is theoretically possible... but it is not a "nice" number 2.236067977499789696409173668731276235440618359611525724270897245410520925637804899414414408378782275... it goes on forever (ugh!)

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