Grade A Simplify surds Simplify algebraic expressions involving

Grade A Simplify surds Simplify algebraic expressions involving surds If you have any questions regarding these resources or come across any errors, please contact helpful-report@pixl. org. uk

Key Vocabulary Simplify Surd Expression

How to simplify algebraic expressions involving surds √ 5 means the square root of 5 √x means the square root of x √a means the square root of a What is √a 2?

How to simplify algebraic expressions involving surds √ 5 means the square root of 5 √x means the square root of x √a means the square root of a What is √a 2? √a 2 = a (√a)2 = √a x √a = a 1/2 x a 1/2 = a

How to simplify algebraic expressions involving surds Learn these rules: -

How to simplify algebraic expressions involving surds Look for a factor that is a square number This is how the final answer should be written

How to simplify algebraic expressions involving surds • When multiplying surds, write out the expression in full before attempting to simplify. • The rules are the same as for simplifying any algebraic expressions. x

How to simplify algebraic expressions involving surds ( ) = 2 = x

Simplify each expression: a) b) c)

Simplify each expression: a) b) c) = abc = b√c

Reasoning. Am I Correct? Explain why.

Reasoning. Am I Correct? Explain why. 2 ab 1

Problem Solving and Reasoning Work out the length of the hypotenuse. Write your answer in surd form.

Problem Solving and Reasoning Work out the length of the hypotenuse. Write your answer in surd form.

Problem Solving and Reasoning Write down two possible multiplication questions with an answer of: 24√ab

Problem Solving and Reasoning Write down two possible multiplication questions with an answer of: 24√ab Eg 8√a x 3√b

Problem Solving and Reasoning Write down two possible division questions with an answer of: 4√a

Problem Solving and Reasoning Write down two possible division questions with an answer of: 4√a Eg 8√a ÷ 2