Show that 7- root 5 is irrational,given that root 5 is irrational
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It is 7-root5
Not 7root5
Not 7 root 5 it is 7-root 5
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we will solve this problem with the help of contradiction method.
let's assume that 7- root 5 is rational.
so 7 minus root 5equals to A/B, here A and B are coprime.
=7-A/B=ROOT 5
7 MINUS A/B IS A RATIONAL NUMBER. BUT ROOT 5 IS AN IRRATIONAL NUMBER. SO OUR ASSUMPTION PROVED WRONG.
THAT IS WHY 7 MINUS ROOT 5 IS AN IRRATIONAL NUMBER
let's assume that 7- root 5 is rational.
so 7 minus root 5equals to A/B, here A and B are coprime.
=7-A/B=ROOT 5
7 MINUS A/B IS A RATIONAL NUMBER. BUT ROOT 5 IS AN IRRATIONAL NUMBER. SO OUR ASSUMPTION PROVED WRONG.
THAT IS WHY 7 MINUS ROOT 5 IS AN IRRATIONAL NUMBER
here is 7-root5
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