GCSE

MATHEMATICS · Multi-part · GCSE · Mathematics · Number · Number

Problem

Let

x=\sqrt[3]{30}

. (i) Show that

3<x<4

without evaluating

x

in decimal form. (ii) Decide whether

x

is closer to

3

or to

4

, giving a suitable inequality to support your conclusion. (iii) Determine, with justification, whether

x

is greater than

3.1