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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