sethwangchhetri22
sethwangchhetri22 sethwangchhetri22
  • 12-07-2022
  • Mathematics
contestada

show if √5×√5×√8 is rational or irrational numbers​

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romyzouein romyzouein
  • 12-07-2022
√5 x√5 x√8= √(5x5x8) = √200 = 10 √2
It’s an irrational number
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devishri1977
devishri1977 devishri1977
  • 12-07-2022

Answer:

Irrational number

Step-by-step explanation:

Rational and irrational number:

  Prime factorize the number and then simplify.

[tex]\sf \sqrt{5}*\sqrt{5}*\sqrt{8}=\sqrt{5*5*8}[/tex]

                     [tex]\sf = \sqrt{5*5*2*2*2}\\\ = 5* 2* \sqrt{2}\\\\= 10\sqrt{2}[/tex]is an irrational number.

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