Question 23
$$ If 3\sqrt{5} + \sqrt{125} = 17.88, then find the value of \sqrt{80} + 6\sqrt{5} $$
Solution
$$3\sqrt{5} + \sqrt{125} = 17.88$$
$$3\sqrt{5} + \sqrt{25\times 5} = 17.88 $$
$$3\sqrt{5} + \5sqrt{5} = 17.88 $$
$$8\sqrt{5} = 17.88 $$
then,
$$\sqrt{80} + 6\sqrt{5} $$ = $$\sqrt{16\times5} + 6\sqrt{5} $$
= $$4\sqrt{5} + 6\sqrt{5} $$
= $$10\sqrt{5}$$
if $$8\sqrt{5} = 17.88 $$, then
$$10\sqrt{5}$$ = 22.35
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