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These are the Transum resources related to the statement: "Use and manipulate surds, including rationalising the denominator.".

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

- Surds Learn that a surd is an irrational number and how to simplify expressions including surds. This video is to help you do the online exercise.
- Surds A self-marking exercise on calculating, simplifying and manipulating surds (also known as radicals).

Here are some exam-style questions on this statement:

- "
*(a) Without using a calculator, show that \(\sqrt{28}=2\sqrt7\)**(b) The point \(X\) is shown on the unit grid below. The point \(Y\) is \(\sqrt17\) units from \(X\) and lies on the intersection of two grid lines. Mark one possible position for \(Y\).*" ... more - "
*(a) Express \( \sqrt{5} + \sqrt{20} \) in the form \( a \sqrt{5} \) where \(a\) is an integer.*" ... more - "
*(a) Write this list of numbers in order, smallest first.*" ... more

Here are some Advanced Starters on this statement:

**Paper Ratio**

Calculate the ratio of the sides of an A4 sheet of paper without any measuring. more**Paper Surprising Perimeter**

Find the perimeter of a folded sheet of A4 paper as described in this short video. more

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

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