Is Root 11 Rational or Irrational?

We have learnt that square root value of 11 is 3.31662… The decimal expansion of square root of 11 is non-terminating and non-repeating and we know that a non-terminating and non-repeating decimal expansion is an Irrational Number. Hence Square Root of 11 is irrational.

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Square Root of 11

Square Root of 11 is approximately equal to 3.31662479. Here, as we know the square root of an integer is the value that returns the original number when multiplied by itself. Hence, √11 will result in the number 11. There are two possible square roots of 11 +3.3166… and -3.3166…

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Is Root 11 Rational or Irrational?

We have learnt that square root value of 11 is 3.31662… The decimal expansion of square root of 11 is non-terminating and non-repeating and we know that a non-terminating and non-repeating decimal expansion is an Irrational Number. Hence Square Root of 11 is irrational....

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