Simplify $\sqrt{108}$
Mathematical Methods · Unit 1 · Surds and quadratic functions · Surds
Simplify square roots of natural numbers which contain perfect square factors, e.g. √45 = √9 × 5 = √9√5 = 3√5
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Simplify \(\sqrt{1{,}152}\) by expressing it in the form \(a\sqrt{b}\), where \(a\) and \(b\) are positive integers and \(b\) has no perfect square factors greater than 1.
Simplify \(\sqrt{108}\).
Simplify √252, expressing your answer in the form a√b where a and b are positive integers and b contains no perfect square factors greater than 1.
Simplify the following expressions, showing all steps. Express each answer in the form \( a\sqrt{b} \) where \( a \) and \( b \) are positive integers and \( b \) contains no perfect square factors. (a) \( \sqrt{1{,}125} \) [2 marks] (b) \( \frac{\sqrt{2{,}352}}{\sqrt{8}} \) [2 marks]