Question

prove that √5+√2 is irrational​

Answer 1

Step-by-step explanation:

1.let us assume it is a rational number

2.√5+√2=a/b(where a,b are composite numbers)

3.squaring on both sides we get (√5+√2)2=(a/b)2

4.5+2+2√5√2=a2/b2

5.7+2√10=a2/b2

6.2√10=a2/b2-7

7.an irrational = rational is false

8.therefore √5+√2 is irrational hence proved

note: here a2 and b2 means a square and b square

Answer 2

Answer is in the attachment