Math, asked by aman3835, 1 year ago

given √5 irrational prove that 7-√5 is irrational

Answers

Answered by Rukhayya1101
3

Answer:


Step-by-step explanation:

LET US ASSUME THAT 7 - ^5 IS RATIONAL

so it is of the form p\q

                 7-^5=p\q

                    ^5 =7-p\q LCM  is q

                so ^5 = 7q-p\q

here it shows that ^5 is rational

but it contradicts the given  fact that ^5 is irrational

so our assumption is wrong

7-^5 is  irrational

NOTE : ^5 MEANS ROOT 5

hope it helps

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