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Prove that 4_5root 2 is irrrational …

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Prove that 4_5root 2 is irrrational number

Posted by Naman Singh 5 years, 3 months ago

CBSE > Class 10 > Mathematics

3 answers

Naman Singh 5 years, 2 months ago

Who helped lencho

0Thank You

Gaurav Seth 5 years, 3 months ago

Let us assume that 4-5√2 is be rational.

=> 4-5√2 = a/b [ where, a,b belongs to Z]

=> -5√2 = a/b -4

=> √2 = 4/5 -a/b

L.H.S = irrational number as √2 is an irrational number .

R.H.S = rational number

Hence, R.H.S ≠ L.H.S

Therefore, our assumption is wrong & 4-5√2 is an irrational number.

0Thank You

Naman Singh 5 years, 3 months ago

Answer my question warna i delete this app

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CBSE > Class 10 > Mathematics