(i) State what is meant by the conjugate of a binomial expression containing a square…

MATHEMATICS · Subjective · ICSE · Mathematics · Pure Arithmetic · Pure Arithmetic

Problem

(i) State what is meant by the conjugate of a binomial expression containing a square root. (ii) Write the conjugate of the denominator

7+2\sqrt{3}

. (iii) Explain, without performing the complete calculation, why the product

(7+2\sqrt{3})(7-2\sqrt{3})

is a rational number.