A square of area $ \left(11 + \sqrt{120} \right)\ \text{cm}^2$ has a length of $ \left(\sqrt{a} + \sqrt{b} \right)\ \text{cm}$, where&nbsp;$a &lt; b$.
Without using a calculator, find the values of $a$ and $b$.[5]

A square of area $ \left(11 + \sqrt{120} \right)\ \text{cm}^2$ has a length of $ \left(\sqrt{a} + \sqrt{b} \right)\ \text{cm}$, where $a < b$.

Without using a calculator, find the values of $a$ and $b$.

Surds - Simplifying Surds

Surds - Simplifying Surds