Prove that 2root5is irrational

1.	Prove that 2root5is irrational
Answer» ANSWER: Step-by-step explanation: Suppose, it can be written in firm of p/q,and q is not equal to zero. When p and q are relative PRIME numbers √5 = p/q, q is not equal to 0~~eq (1) Where p and q are relative prime numbers Taking square 5=p2/q2 5=p2/q.q Taking ONE q on opposite side 5q=p2/q~~(2) Since p and q being relative prime No's , q cannot divide p and p2 As l.h.s of eq(2) is an integer i.e; nq Hence l.h.s of eq(2) is not equal to R.H.s So our assumption is wrong So √5 is an irrational number.

Answer»

ANSWER:

Step-by-step explanation:

Suppose, it can be written in firm of p/q,and q is not equal to zero.

When p and q are relative PRIME numbers

√5 = p/q, q is not equal to 0~~eq (1)

Where p and q are relative prime numbers

Taking square

5=p2/q2

5=p2/q.q

Taking ONE q on opposite side

5q=p2/q~~(2)

Since p and q being relative prime No's , q cannot divide p and p2

As l.h.s of eq(2) is an integer i.e; nq

Hence l.h.s of eq(2) is not equal to R.H.s

So our assumption is wrong

So √5 is an irrational number.

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Prove that 2root5is irrational

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