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A surd is the square root of a number that is not a square number, for example etc. • Surds can be used to give the exact value for an answer.
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Scheme of work: 1a. Algebraic expressions – basic algebraic manipulation, indices and surds
Example 1 Simplify 1 Choose two numbers that are factors of 50. One of the factors must be a square number 2 Use the rule 3 Use Example 2 Simplify 1 Simplify and. Choose two numbers that are factors of 147 and two numbers that are factors of
a a b (^) b
a b
a b + c
Practice questions 1 Simplify. a b c d e f g h 2 Simplify. a b c d e f Answers 1 a b c d e f g h 2 a b c d
Hint One of the two numbers you choose at the start must be a square number. Watch out! Check you have chosen the highest square number at the start.