thecharmingwombat thecharmingwombat
  • 08-09-2021
  • Mathematics
contestada

28.
Between which two consecutive integers does the radical V 29 lie?
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29 <
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AlgebraicAardvark
AlgebraicAardvark AlgebraicAardvark
  • 08-09-2021

To find what to consecutive radicals [tex]\sqrt{29}[/tex] falls between, first ignore the radical and ask yourself, "What to perfect squares does 29 fall?"

     29 falls between 25 and 36.

Since 25 < 29 < 36, we know [tex]\sqrt{25} < \sqrt{29} < \sqrt{36}[/tex].  

This tells us [tex]\sqrt{29}[/tex] falls between 5 and 6.

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