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Show that 5 - 2 root 3 is an irrational number

Posted by Sumit Jangra 6 years, 11 months ago

CBSE > Class 10 > Mathematics

4 answers

Sonal Kumari 6 years, 11 months ago

here why this contradict that root 3 is an irrational no. firstly we have taken 5-2root 3 as rational so why plz tell

1Thank You

Poonam Bais 6 years, 11 months ago

Suppose 5-2√3 is a rational no. 5-2√3= a/b (for any co prime a and b ,b not equal to 0) -2√3=a/b-5 is also rational -2√3=(a-5b)/b is also rational √3 =(a- 5b)/-2b is also rational This contradicts the fact that √3 is an irrational no. So 5-2√3 is an irrational no.

2Thank You

Sourav Kumar 6 years, 11 months ago

Yes

1Thank You

Mohit Rai 6 years, 11 months ago

Yes

2Thank You

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