Geometry of Spirals

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Why is it useful to rationalise the denominator?

• To make the expression easier to work with by eliminating radicals from the denominator.

• To increase the complexity of the expression.

• To convert the expression into a fraction.

• To change the sign of the numerator.

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Look at the right-angled triangle on card A. Work out each of the quantities on the other cards and give your answers in simplified surd form. A. Calculate the length of AC in metres.

• AC = 5√2

• AC = 4√3

• AC = 3√5

• AC = 6√2

Look at the right-angled triangle on card A. Work out each of the quantities on the other cards and give your answers in simplified surd form. B. Calculate the length of AC.

• AC = 5√2

• AC = 4√3

• AC = 3√5

• AC = 6√2