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# Define rational and irrational numbers and perform operations with surds and fractional indices(VCMNA355)

[/title][fusion_text]LO: To perform operations with surds and fractional Indices
Know:

• What a fraction is.
• How to apply the four operations to fractional values

Understand:

• That the four operations can be applied to rational and irrational numbers with fractional indices

Do:

• I can apply the four operations to rational and irrational numbers with fractional indices

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# Visual Representations

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# Notes

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### With fractional indices the numerator (top number of a fraction) remains the indice (exponent). The denominator (bottom number of a fraction) becomes the nth root.

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### In this example, the 27 is the base with 2/3 as the fractional exponent (indice). So you would rewrite this as the cube root of 27 to the power of 2.

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