Question

Simplify the following surds.

(i) $\sqrt{27}$ (ii) $\sqrt{50}$ (iii) $\sqrt{250}$ (iv) $\sqrt{112}$ (v) $\sqrt{168}$

Answer 1

(i) $\sqrt{27}=\sqrt{9\times 3}=3\sqrt{3}$

(ii) $\sqrt{50}=\sqrt{25\times 2}=5\sqrt{2}$

(iii) $\sqrt{250}=\sqrt{25\times 10}=5\sqrt{10}$

(iv) $\sqrt{112}=\sqrt{16\times 7}=4\sqrt{7}$

(v) $\sqrt{168}=\sqrt{4\times 42}=2\sqrt{42}$