Question

show that 2 root 3 + 5 is an irrational number​

Answer 1

Answer:

here is your answer.

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Answer 2

Step-by-step explanation:

Let 2√3+5 be a rational number.

Therefore,2√3+5=p/q{where p and q are co-prime integer}

2√3=p/q-5

2√3=p-5q/q

√3=p-5q/2q

here,p-5q/2q is a rational number

But,√3 is an irrational no.

This condition arises due to our wrong assumption that 2√3+5 is a rational no.

Since our assumption is wrong therefore

2√3+5 is an irrational no.

Hence proved.

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