Prove that √2 is irrational.
Rational and Irrational Numbers
Original Khojo Papers practice question — not from a past board paper.
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No citable source has been recorded for this record. Treat it as practice material, not as fact.
It is a difference of two squares, 5 − 2 = 3, so the product of these two irrational numbers is rational.
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