Question

3) Simplify the following surds,
(i) ✓75
(ii) ✓60​

Answer 1

$1.) \: 75 = 5 \times 5 \times 3$

$\sqrt{75} = \sqrt{5 \times 5 \times 3}$

$\sqrt{75} = 5 \sqrt{3}$

$2.) \: 60 = 2 \times 2\times 3 \times 5$

$\sqrt{60} = \sqrt{2 \times 2 \times 3 \times 5}$

$\sqrt{60} = 2 \sqrt{3 \times 5}$

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