Question

prove that 2√3+5 is an irrational​

Answer 1

Answer:

Yes it is an irrational number . We can say due to the following proof:

ON finding the value of root3..we will get it equal to- 1.73214857.. and is never ending and so, it will never continue to terminate neither stop decimal expansion.

Therefore it is an irrational number and not a rational number.

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Answer 2

$2 \sqrt{3 + 5}$

suppose it is irrational

formula=a/b

a/b=2root 3+5

a/b×5=2root 3

a/b×5/2=root3

so we get a/b×5/2 is rational

root 3 is irrational

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