Foundation
Mathematics Foundation
Properties of Real Number
Irrational Number
Rational Numbers
Question
Prove that \displaystyle 4+5\sqrt { 3 } is an irrational number.
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Solution
An irrational number can be written as a decimal, but not as a fraction.
An irrational number has endless non-repeating digits to the right of the decimal point.
As per definition is an irrational number