Question

1/√2 is a/an......number​

Answer 1

Answer:

irrational no.

Step-by-step explanation:

Let 1/sqrt(2) be rational and

1/sqrt(2)=m/(m+n) . . . . . .(1) where m, n are non-zero integers.

inverting and squaring both sides we write

2 =(m+n)^2 /( m^2) . . . . . . .(2)

2m^2 = m^2 + n^2 +2mn . . .(3) or

m^2 - 2nm - n^2 = 0 . . . . . . . . . . . .(4)

(m - n)^2 + n^2 + n^2 = 0 . . . . . . . . . . . (5)

(5) can not be true since all three terms are positive integers.

hence (1) is not true and 1/sqrt(2) is not rational.

Hope it will help you...

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Answer 2

Step-by-step explanation:

hey mate !!

Irrational no.

hope it helps!!!