IB skill practice

Use exact algebraic reasoning

Manipulate exact forms and explain algebraic reasoning clearly.

Paper 1 5 marks Difficulty 2

Expand an exact surd expression

Expand and simplify \((\sqrt{ 2 }+\sqrt{ 7 })^{2}\). Enter the rational part, the coefficient of the radical term, and the radicand inside the square root.

Worked practice: exact algebra

Separate the rational part from the radical part and keep the surd simplified.