Question

prove that the following are irrational.​ 1) 1/√2​

Answer 1

Step-by-step explanation:

let us assume 1/✓2 as rational.

do we can write number as 1/✓2= a/b {equation 1}

• here a and b are two co prime numbers abd b is not equal to zero .

simplifying equation 1 and divide by ✓2 both sides we'll get

1= a✓2/b

now dividing by b we get .

b= a✓2 or. b/a= ✓ 2 .

here a and b are Integers so b/a is a rational number

.

so ✓ 2 is a rational number but contradictory✓2 us an irrational number..

hence proved

Answer 2

Answer:

Other than 1

Step-by-step explanation:

prove that the following are irrational. 1) 1/√2