5. Prove that 4 - 5v3is irrational.
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let us assume that 4-√3 is a rational number.
let a and b be co-prime numbers
can be represented in the form a/b
a/b=4-√3
√3=4-a/b
√3=4b-a/b
we know that √3 is an irrational number.
hence √3 should not equal to 4b-a/b.
therefore 4-√3 is an irrational number.
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