Surds

Rational and irrational numbers

Exact values or decimal approximations

Approximate and compare irrational numbers

Calculate decimal approximations for irrational numbers

Operations with rational and irrational numbers

Triangle Side Lengths (Investigation)

Simplify surd expressions involving powers or algebraic terms

Add and subtract numerical surds

Multiply numeric surds

Surds and binomial expansions

Rationalise the denominator

Evaluate expressions involving numerical roots

Simplify expressions involving algebraic roots

Simplify further expressions involving algebraic roots

Class VIII

Simplify surd expressions involving powers or algebraic terms

Interactive practice questions

Simplify $\sqrt{3^2}$√32.

Easy

< 1min

Simplify the following algebraic surd: $\sqrt{36x}$√36x

Easy

< 1min

Simplify the algebraic surd $\sqrt{k^4}$√k4, assuming that $k$k represents a positive number.

Easy

< 1min

Simplify: $\sqrt[3]{m^3}$³√m3

Medium

< 1min

Outcomes

8.NS.SSCC.2

Square roots using factor method and division method for numbers containing (a) no more than total 4 digits and (b) no more than 2 decimal places

8.NS.SSCC.4

Estimating square roots and cube roots. Learning the process of moving nearer to the required number.

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