Question

prove that3√2/4is an irrational number

Answer 1

Heya ✋

Let see your answer !!!!

Let 3√2/4 is an irrational number.

p/q = 3√2/4

=> p/q × 4 = 3√2

=> 4p/q = 3√2

=> Irrational number = Rational number

This is contradiction.

Hence , 3√2/4 is a irrational number.

Thanks :))))

Answer 2

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Sum of zeroes = α + β =√2

Product of zeroes = α β = 1/3

∴ If α and β are zeroes of any quadratic polynomial, then the quadratic polynomial equation can be written directly as:-

x2–(α+β)x +αβ = 0

x2 –(√2)x + (1/3) = 0

3x2-3√2x+1 = 0

Thus, 3x2-3√2x+1 is the quadratic polynomial.