Question

prove that (5-2√3)is an irrational number given that√3 is an irrational number​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

5-2√3 is an irrational number.

Step-by-step explanation:

Let us assume, the contrary,that 5 - 2√ 3 is an rational number .

So, 5-2√3=a/b where a and b are integer and (≠0)

√3=-1/2[ 5-a/b]

-1/2[5-a/b] is a rational number as a and b are integer

Then √3 is rational no but it contradict the given that √3 is an irrational number

so, our assumption is worng

Therefore, 5-2√3 is an irrational number.