Collaborative examstyle questions SAMPLE Pearson Education Ltd 2018

Collaborative exam-style questions SAMPLE © Pearson Education Ltd. 2018. Copying permitted for purchasing institution only. This material is not copyright free.

Surds a Simplify giving your answer in the form where a is an integer. (2 marks) b Hence, or otherwise, simplify (3 marks) What do you need to do to answer these questions? You have one minute to collaborate. © Pearson Education Ltd. 2018. Copying permitted for purchasing institution only. This material is not copyright free. 45 50 35 60 20 5 15 0 10 25 30 40 55

To answer questions of this type I need to: 1 use the rules of surds 2 rationalise the denominator 3 simplify. © Pearson Education Ltd. 2018. Copying permitted for purchasing institution only. This material is not copyright free.

a Simplify giving your answer in the form where a is an integer. Find a factor of each surd that is a square number. Each product can be simplified using the rules of surds. © Pearson Education Ltd. 2018. Copying permitted for purchasing institution only. This material is not copyright free. Rules of surds

Simplify each product. (1) Rules of surds Check that a is an integer. © Pearson Education Ltd. 2018. Copying permitted for purchasing institution only. This material is not copyright free. Factors practice

b Hence, or otherwise, simplify Use part a to simplify the numerator. The denominator can now be rationalised. Rules of surds © Pearson Education Ltd. 2018. Copying permitted for purchasing institution only. This material is not copyright free.

Multiply the numerator and denominator by (1) This can be simplified using the rules of surds. © Pearson Education Ltd. 2018. Copying permitted for purchasing institution only. This material is not copyright free. Rules of surds

Simplify the numerator and denominator. (1) Check there is not a surd in the denominator. © Pearson Education Ltd. 2018. Copying permitted for purchasing institution only. This material is not copyright free. Rules of surds

Factors practice Simplify: a b c d e Look for a factor of each surd that is a square number. a b c d e Return to main question © Pearson Education Ltd. 2018. Copying permitted for purchasing institution only. This material is not copyright free.

Rules of surds You can manipulate surds using these rules. Return to main question © Pearson Education Ltd. 2018. Copying permitted for purchasing institution only. This material is not copyright free.