Question

Section - B
6. Prove that V10 is an irrational number.​

Answer 1

Answer:

ok

Step-by-step explanation:

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Answer 2

Answer:

Lets assume that V10 is Rational

so we can express V10 in form of a/b where a,b are coprime and B is not = 0

i.e.

V10= a/b

=>BV10=a

sq on both sides

=> 10B²=A²

Therefore A² is duvisible by 10

also A is divisible by 10

So let the value of A be 10m

i.e.

A=10m

sq on both sides

A²= 100m²

Sub A²=10B²

10B²=100m²

B²=100m²/10

B²= 10m²

With this we get to know that B us also divisible by 10

This contradicts the statement that A,B are coprime.

Thus our assumption is False

Therefore V10 is Irrational

Hence Proved. :-)