CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Examine, whether the following numbers are rational or irrational:
$$\dfrac {10}{2\sqrt {5}}$$


Solution

$$\dfrac{10}{2\sqrt{5}}$$
$$=\dfrac{2\times 5}{2\sqrt{5}}$$
$$=\dfrac{2\times 5\div 2}{2\sqrt{5}\div 2}$$
$$=\dfrac{5}{\sqrt{5}}$$
$$=\dfrac{\sqrt{5}\times \sqrt{5}}{\sqrt{5}}$$
$$=\sqrt{5}$$
Which a irrational number 
Then $$\frac{10}{2\sqrt{5}}$$ is an irrational number

Mathematics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image