87n

Higher tier only

Expanding pairs of brackets containing surds

87n Expand a single bracket with surds.

87n Expand two brackets involving surds in the form (a + \sqrt{b})(c + \sqrt{b}).

87n Expand two brackets with surds, where subsequent simplification of surds required.

87n Expand two brackets involving multiples of surds.

87n Square a bracket involving surds.

33n: evaluating powers and roots and identifying square or cube numbers

33a: simplify expressions by multiplying terms

52a: expand and simplify pairs of brackets

82n: simplifying surds by taking out square factors (higher tier only)

86n: rationalising the denominator when the denominator is a single surd (higher tier only)

Surd

Expand

Simplify

93n: rationalising the denominator by multiplying by a conjugate expression (higher tier only)

Surds - expanding brackets

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