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Prove that 5 - ? is …

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Prove that 5 - ? is irrational given that ? is irrational

Posted by C Akhilesh 4 years, 8 months ago

CBSE > Class 10 > Mathematics

2 answers

Bhoomika Verma 4 years, 8 months ago

Let as assume that 5-√3 is rational no. 5-√3 =a/b ( a and b is coprime no. & Integers &q≠0) 5-a/b = √3 √3= 5b-a/ b Since a and b are integers ,we get 5-a/ b is rational no. But √3 is irrational no. So, our assumption was wrong . Hence 5-√3 is irrational no.

0Thank You

Yash Bansal 4 years, 8 months ago

Lets us assume that 5 is rational! So, subtraction of rational with irration results as irrational, so, 5-3 is irrational

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