Prove that √2 is irrational.
Rational and Irrational Numbers
Original Khojo Papers practice question — not from a past board paper.
5/11
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Let x = 0.4545…, so 100x = 45.4545…. Subtracting gives 99x = 45, and x = 45/99 = 5/11.
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
Simplify (√5 + √2)(√5 − √2).
Rational and Irrational Numbers