prove that (4-√3) is an irrational number given that√3 is an irrational number
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We know that, rational nunbers can be written in p/q form. Hence, the 4- √3 should be equal to p/q as we assumed it as rational number. On L.H.S., the 4 - p/q are rational numbers but on R.H.S., √3 is an irrational number. ... Therefore, 4 - √3 is an irrational number.
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