AM-1262

Surds and rationalising

A Math · Secondary 4 · Hard · Surds and rationalising

A cuboid has base area

9 + 2\sqrt{3}

^2

and volume

40 + 10\sqrt{3}

^3

. Find, without using a calculator, the height of the cuboid, in cm, in the form

a + b\sqrt{3}

, where

a

and

b

are integers.

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