Number Operations · JHS3 Mathematics

Lesson notes

Indicator: B9.1.2.4.3 - Simplify given surds

By the end of the lesson, learners can:

Identify the largest perfect square factor of the number under a square root sign.
Simplify surds of the form √n by expressing n as the product of a perfect square and another whole number.
Simplify surds involving fractions, such as √(a/b), by applying the rule √(a/b) = √a/√b.
Simplify expressions involving powers of surds, such as (√2)².
Use prime factorisation as an alternative method to simplify a given surd.

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Strand: Number (Strand 1)
Sub-strand: Number Operations (1.2)
Content standard: B9.1.2.4 - Demonstrate understanding of surds as real numbers, the process of adding and subtracting of surds as well as determining (using a calculator) the approximate square root of a number that is not a perfect square.
Indicator: B9.1.2.4.3 - Simplify given surds
Suggested placement: Term 1, Week 9 (Week 9 of the year)
Our suggestion, laid out in curriculum order across three terms of twelve weeks. NaCCA does not fix the week, so follow your school's scheme of learning.
Curriculum reference: Mathematics, Common Core Programme (JHS1-JHS3), 2023, p. 170
Transcribed from the official NaCCA publication. Check this page against the source.

E.g.1 Simplify:
i. √27
i. √72
ii. √8 16
iii. √12 121
iv. (√2) 2