Answer
(a) $2~\sqrt{7}$
(b) $4~\sqrt{2}$
(c) $3~\sqrt{6}$
(d) $10~\sqrt{2}$
Work Step by Step
We can simplify the following expressions:
(a) $\sqrt{28} = \sqrt{4 \cdot 7} = \sqrt{4} \cdot \sqrt{7} = 2~\sqrt{7}$
(b) $\sqrt{32} = \sqrt{16 \cdot 2} = \sqrt{16} \cdot \sqrt{2} = 4~\sqrt{2}$
(c) $\sqrt{54} = \sqrt{9 \cdot 6} = \sqrt{9} \cdot \sqrt{6} = 3~\sqrt{6}$
(d) $\sqrt{200} = \sqrt{100 \cdot 2} = \sqrt{100} \cdot \sqrt{2} = 10~\sqrt{2}$
