Question

Chandigarh Rto prove that root 5 is irrational number

Answer 1

____☁hii mate☁____

❄here is ur answer❄

To prove → √5 is irrational

⏩Proof ⤵⤵

✔let √5 be rational number.✔

so,

↪√5=p/q,where p and q are co-prime numbers.

→squaring on both sides , we get ←

↪5=p²/q²

↪5q²=p²...........( 1 )

▪this indicates
p is multiple of 5▪

✔let p=5t for some integer "t"✔

replace value of "t" in equation.. ( 1 )

↪5q²=(5t)²

↪5q²=25t²

↪q²=5t².......(2)

▪this indicates
q is multiple of 5▪


since,p and q has 5 as common factor.this contradict the fact that p and q are co-prime.
hence,√5 is not a rational number.

✏√5 is irrational number.

((((((((hence,
proved))))))))

hope it helps______with reGarDs ========== SnehaG☑

Answer 2

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HERE IS UR ANSWER

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