Question

prove that √7 - √2 is irrational

Answer 1

Step-by-step explanation:

Multiply both sides of the equation by √7+√2 to obtain 5=7−2=(√7−√2)(√7+√2)=ab(√7+√2). is rational. So √7 is rational. This is a contradiction.

Answer 2

• √7 is not a perfect square..
• and √2 is also is not a perfect square..

so, Both are being IR - RATIONAL ; HENCE , WE KNOW WHEN TWO IRRATIONAL NUMBERS ARE ADDED IT'S A IRRATIONAL. .

AND √7+√2 = √9 WHICH IS NOT A PERFECT SQUARE.

.THE SUM OF TWO IRRATIONAL IS A IRRATIONAL..