Calculate the exact value of each of the following and then state whether your final…

MATHEMATICS · Multi-part · ICSE · Mathematics · Pure Arithmetic · Pure Arithmetic

Problem

Calculate the exact value of each of the following and then state whether your final answer is a rational number or an irrational number. Show all steps clearly. (i) (2+3)2−(32−1)(\sqrt{2} + 3)^2 - (3\sqrt{2} - 1) (ii) 72÷(2−3)\dfrac{7}{2} \div \left(2 - \sqrt{3}\right) (iii) (5−23)(5+23)\left(5 - 2\sqrt{3}\right)\left(5 + 2\sqrt{3}\right)

Related theory

Browse the problem library