Question

prove that2√5is a irrational number
full explanation is needed ​

Answer 1

Answer:

lets assume that2√5 is rational.

then ,2√5=p/q.

now q2√5=p

squaring on both sides

(qx2x√5)sq.=psq. ..........eq i

qx4x5=P square.

20q=Psq..........

q=psq. DIVIDE BY 20.

now by a theorm if a number divides sqare of a number then it divides the number also.

so,p sq. divides 20 also.

again dvides 20 put it eq i .and again by using the abive theorm we get that:

2q is=√5. which is rational..

BUT WE KNOW THAT √5 IS IRRATIONAL.

SO , OUR ASSUPTION IS WRONG AND 2√5 IS IRRATIONAL.

...hope u understand it......

Answer 2

Answer:

answer for the given problem is given