nicholaskaple nicholaskaple
  • 25-04-2018
  • Mathematics
contestada

Use the table shown to approximate the square root of 1800 to the nearest hundredth.
Explain your reasoning.

Use the table shown to approximate the square root of 1800 to the nearest hundredth Explain your reasoning class=

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calculista
calculista calculista
  • 05-05-2018
we know that
√1800-----> √[2³*3²*5²]----> (√2*√2*√2)*(√3*√3)*(√5*√5)

using the table
√2=1.41421
√3=1.73205
√5=2.23606
then
(√2*√2*√2)*(√3*√3)*(√5*√5)=(√2)³*(√3)²*(√5)²
=(1.41421)³*(1.73205)²*(2.23606)²
=2.83*3*5
=42.45

the answer is
42.45

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