MathematicsState, with reason, which of the following are surds and which are not: (i) 325 (ii) 340 [[1]]

State, with reason, which of the following are surds and which are not:
(i) 3 $\sqrt{25}$
(ii) 3 $\sqrt{40}$
[[1]]

(i)3

\sqrt{25}

= 3

\sqrt{5 ✕ 5}

Therefore, 3

\sqrt{25}

cannot be expressed free of root so it is not surds
(i) is the surds
(ii)3

\sqrt{40}

= 3

\sqrt{5 ✕ 2 ✕ 2 ✕ 2}

Cannot be express free of root so its is surds

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