Question

✓2is rational number true or false​

Answer 1

Answer:

false

the square root of 2 cannot be a rational number.

Answer 2

Answer:

false

Step-by-step explanation:

let √ 2 be a rational number.

so, p/q= √2

therefore, p =√2 * q,

now squaring on both the sides

p²= (√2)² * q²

p²= 2q²

p²= even number

therefore p= even

p= 2x

squaring on both sides again

p²= 4x²

2q²= 4x²

q²= 2x²

so q is also an even number

p/q = 2x/2y

so as 2 is common factor in the numerator and the denominator √ 2 is an irrational number