Respuesta :

AL2006
A).  √36  =  +6  and  -6 .  Rational

B).  √49  =  +7  and  -7 .  Rational

C).  √13  =  +3.60555...  and  -3.60555... . Decimal never ends.
                                                                       Irrational

D).  √121  =  +11  and  -11 .  Rational

The square root of 13, which can also be expressed as √13 is the irrational number. This implies the correct answer is C.

√13 = +3.60555...and its decimal never ends.

The irrational number have decimals that never ends, they are all real numbers and very different from rational numbers. Irrational cannot be expressed as a simple fraction, which means it can't be written as a/b

Further Explanation

Irrational numbers cannot be expressed as a ratio of two integers. A good example of an irrational number is (pi) which can be expressed as 3.1415926535897932384626433832795 and never ends.

There is no way you can express a single fraction as (pi)

Some of the famous irrational numbers include

e: also known as Euler’s number is one of the famous irrational numbers.  e have been calculated to have many decimal places with no pattern showing. e is expressed as 2.7182818284590452353602874713527 and its decimal never ends.

√2 is another famous irrational number, it is also called Pythagoras constant. The Pythagoras constant is 1.4142135623……and never ends.

Phi is also one of the famous irrational numbers; it is also known as the golden ratio. Phi equals 1.6180339887… and never ends.

Irrational numbers are discovered by Hippasus in the 5th century. Hisppasus discovers Irrational numbers when he was solving some separate mathematical problems.

Therefore, the square root of 13, which can also be expressed as √13, is an irrational number.

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KEYWORDS:

  • irrational numbers
  • phi
  • e
  • square root of 13
  • hisppasus