Question 3

loading...

Prev/Next links

waecmaths question: 

Simplify $\left( \frac{10\sqrt{3}}{\sqrt{5}}-\sqrt{15} \right)$ 

Option A: 

75.00

Option B: 

15.00

Option C: 

8.66

Option D: 

3.87

waecmaths solution: 

$\begin{align}  & {{\left( \frac{10\sqrt{3}}{\sqrt{5}}-\sqrt{15} \right)}^{2}}={{\left( \frac{10\sqrt{3}-\sqrt{75}}{\sqrt{5}} \right)}^{2}} \\ & {{\left( \frac{10\sqrt{3}}{\sqrt{5}}-\sqrt{15} \right)}^{2}}={{\left( \frac{10\sqrt{3}-5\sqrt{3}}{\sqrt{5}} \right)}^{2}} \\ & {{\left( \frac{10\sqrt{3}}{\sqrt{5}}-\sqrt{15} \right)}^{2}}={{\left( \frac{5\sqrt{3}}{\sqrt{5}} \right)}^{2}}=\frac{25\times 3}{5} \\ & {{\left( \frac{10\sqrt{3}}{\sqrt{5}}-\sqrt{15} \right)}^{2}}=15 \\\end{align}$

maths year: 
maths topics: