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Given that √2 is irrational,prove that …

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Given that √2 is irrational,prove that (5+3√2) is an irrational no.

Posted by Jitenrai Jitenrai 6 years, 10 months ago

CBSE > Class 10 > Mathematics

2 answers

Sneha Singh 6 years, 10 months ago

Let 5 + 3 √2 be a rational number = 5+3√2 = a = 3√2 = a-5 = √2 = a-5/3 Now, here a-5 / 3 is a rational number. Therefore root 2 is also a rational number. But also we know that root 2 is an irrational number. So our assumption was wrong, Therefore 5 + 3 root 2 is an irrational number Hence proved✓

0Thank You

Paras ? ? Shah ? ? 6 years, 10 months ago

Bro in dono question ko sath me prove karna he ya alag alaf

2Thank You

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