1. Prove that ✓5 is irrational
Answers
Answered by
2
Answer:
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Step-by-step explanation:
∴ It can be expressed in the form p/q where p,q are co-prime integers. ... Therefore, p/q is not a rational number. This proves that √5 is an irrational number
Answered by
4
Answer:
yes root 5 is irrational
Step-by-step explanation:
let us assume root 5 is rational
root 5 = a/b = a = b root 5
squaring on both sides
5b^2=a^2
by statment 1 it follows if 5 divides a^2 it also divides a
we can write a=5c for some integer
by substituting a we get 5b^2=25c^2
b^2=5c^2
b^2=5c^2 is rational but according to contradicts root 5 is irrational
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