Question

proof that √3,√5,√7,√3+2,√3+5 irrational number ​

Answer 1

Answer:

Assume that 3+25 is rational. Then,

3+25=ba

5=2ba−3b

This gives that 2ba−3b is rational but 5 is an irrational number, therefore, the assumption is wrong.

Hence, 3+25 is irrational.

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Answer 2

Step-by-step explanation:

Assume that 3+2 5 is rational. Then,

3+2

5 = b

aa =

2b

a−3b

This gives that

2b

a−3b

is rational but

5

is an irrational number, therefore, the assumption is wrong.

Hence, 3+2

5

is irrational.