Question

prove that 5root3-4 is irrational. (please give complete answer along with explanation)​

Answer 1

Answer:

Step-by-step explanation:

Let ( 4 - 5√3 ) = a/b [ In a form of a rational number ]

=> 4 - 5√3 = a/b

=> 4 - a/b = 5√3

=> 4b - a / b = 5√3

=> 4b - a / 5b = √3

✴ Here, in LHS we have obtained a number i.e ; rational whereas in RHS we have √3 which is an irrational number.

Hence, Our assumption is wrong.....

✴ 4 - 5√3 is an irrational number.

Proved.....

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