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5+3 are irrational numbers

But think they are rational number.So we can write it in the form of p/q

5 +3=a/b(where a,b are co primes)

5+3=a/b

send 5 root 7 to the right side

then we get

3 root 2=a/b-5 root 7

3=a-5 root b/root 2 b

Above we can see that 3 is rational but on the right side they are irrational

so our assumption is wrong

5 root 7+3 root 2 is irrational number

But think they are rational number.So we can write it in the form of p/q

5 +3=a/b(where a,b are co primes)

5+3=a/b

send 5 root 7 to the right side

then we get

3 root 2=a/b-5 root 7

3=a-5 root b/root 2 b

Above we can see that 3 is rational but on the right side they are irrational

so our assumption is wrong

5 root 7+3 root 2 is irrational number