Respuesta :

Answer: No, it is not a rational number

Explanation:

We cannot express [tex]\sqrt{10}[/tex] as a ratio of two integers, and the same goes for [tex]-2\sqrt{10}[/tex] as well. This is because 10 is not a perfect square. So this is why the given number is not rational and considered irrational.

VectorFundament120

Answer:

No.

Step-by-step explanation:

Rational Number is a number that can be written in a fraction form.

While Irrational Number is a number that cannot be written in a fraction form.

Rational (Ex.)

  • Integers (...,-4,-3,-2,-1,0,1,2,3,4,....)
  • Any fractions
  • Repeating Decimals
  • Square roots that can be evaluated to integers or fractions (√1,√4,√9,√16,...)
  • etc.

Irrational (Ex.)

  • Any square roots that cannot be evaluated to integers (√2,√3,√5,√6,√7,√8,√10,√11,...)
  • π
  • e
  • Random decimals or infinite decimals that cannot be written in fraction.

Since -2√10 contains √10 in, the number is not rational.

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