Question

Prove that 7 - 2√3 is an irrational number.

Answer 1

In attachment 1 ,7✓3 is proved as a irrational number while in attachment 2, ✓3 is proven.

you will get to know why I have proved✓3 when you see.

at last we will write hence contradictions present therefore✓3 is irrational.

hope it helps......

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Answer 2

Answer:

let 7 - 2✓3 be equal to a/ b

7-2✓3=a/ b

-2✓3=a/b -7

-2✓3= a-7b/b

✓3=a-7b/b +2

✓3=a-7b+2b/ b

✓3= a-5b / b

Step-by-step explanation:

hence irrational number is equal to rational number.