Question

prove the following as irrational number is 2✓5-3✓3
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Answer 1

We can prove both root 5 and root 3 are irrational. Now product of a rational number (except for 0) and an irrational number is an irrational number. So both 2root5 and 3root3 are irrational. Now, difference of two unequal irrational numbers is irrational. So, the above expression is irrational.....