Math, asked by jageshwaroraon775, 9 months ago

dekheya ki Ruth 5 ek aparimay sankhaya hai hindi me​

Answers

Answered by shivanggupta1509
2

Answer:translate this in hindi by google translator and pls mark me brainliest

Step-by-step explanation:Let us assume that √5 is a rational number.

Sp it t can be expressed in the form p/q where p,q are co-prime integers and q≠0

⇒√5=p/q

On squaring both the sides we get,

⇒5=p²/q²

⇒5q²=p² —————–(i)

p²/5= q²

So 5 divides p

p is a multiple of 5

⇒p=5m

⇒p²=25m² ————-(ii)

From equations (i) and (ii), we get,

5q²=25m²

⇒q²=5m²

⇒q² is a multiple of 5

⇒q is a multiple of 5

Hence, p,q have a common factor 5. This contradicts our assumption that they are co-primes. Therefore, p/q is not a rational number

√5 is an irrational number

Answered by jksahu5584
17

Step-by-step explanation:

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