Manipulating Surds (Edexcel A-Level Mathematics): Quizzes

An irrational root of a rational number

Cannot be written as $\frac{a}{b}$ (integers)

$5\sqrt{5}$

No, different radicands

$\sqrt{21}$

$\sqrt{4} \times \sqrt{3} = \sqrt{12}$

Break into prime surd factors

$3\sqrt{5}$

Yes, no square factors

$5^{12}$

$4^{\frac{5}{2}}$

Write both as powers of same base

Only those with the same radicand