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