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Can we prove root 3 + …

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Can we prove root 3 + root 5 as irrational number by proving both root3 and root 5 separately irrational number?
  • 2 answers

Tanu Meena 6 years, 3 months ago

No prove root 3 as irrational then write similarly to prove root 5 as irrational no need to prove it separately

Sourav Sharma 6 years, 3 months ago

Let √3 is a rational number so we can write in the form of p/q where q is not equal to 0 and p and q are composite number so , √3=p/q S B S (√3)²=(p/q)² 3=p²/q² 3q²=p² P²is divisible by 3 •.•p is disible by 3 P=3m S B S p²=(3m)² P²=9m² (p² =3q²) 3q²=9m² q²=3m² Q²is divisible by 3 •.•q is divisible by 3 Hence our contradiction is wrong therefore √3 is a irrational number Similarly we will prove √5 is irrational number We will add both equation And when we add two irrational number it give irrational no not rational number Hence √3+√5 is irrational number
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