Surds (Year 11)
Free printable UK Year 11 (GCSE Higher tier) maths worksheet on surds: simplify roots, multiply surds, rationalise denominators and expand brackets with exact values.
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Grade 10 · Math worksheet
Name
Date
Math
Surds
Work exactly: simplify each surd by taking out the largest square factor, multiply surds with √a x √b = √(ab), rationalise denominators, and expand brackets keeping exact surd form throughout. Never replace a surd with a rounded decimal. Higher tier.
- 1.Simplify fully.
- 2.Simplify fully.
- 3.Simplify fully.
- 4.Simplify fully.
- 5.Work out x , giving your answer as a simplified surd.
- 6.Work out x , giving your answer as a simplified surd.
- 7.Work out x , giving your answer as a simplified surd or an integer.
- 8.Rationalise the denominator of 1/.
- 9.Rationalise the denominator of 12/.
- 10.Rationalise the denominator of 5/.
- 11.Expand and simplify (1 + )(2 + 3).
- 12.Expand and simplify (5 + 3)(6 + 2).
- 13.Expand and simplify (5 + 3)(5 - 3).
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