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

**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

*Visual Representations*

*Notes*

### Performing operations with fractional indices is fairly easy.

### 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.

*numerator*

### 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.

*Fractional Indice Videos*

*Textbook Questions*

**My Maths 10/10A**