Prove that √2 is irrational.
Rational and Irrational Numbers
Original Khojo Papers practice question — not from a past board paper.
√5 + √2
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Multiplying by the conjugate gives a difference of squares, which removes the surds.
From the same topic and chapter, at a similar level.
Prove that √2 is irrational.
Rational and Irrational Numbers
Insert two rational numbers between 1/3 and 1/2.
Rational and Irrational Numbers
Express the recurring decimal 0.333... as a fraction in its lowest terms.
Rational and Irrational Numbers
Rationalise the denominator of 1/(√3 − 1).
Rational and Irrational Numbers
Rationalise the denominator of 1/(√5 + √3).
Rational and Irrational Numbers
Express 0.454545... as a fraction in its lowest terms.
Rational and Irrational Numbers