Question : If $\sqrt5=2.236$, then what is the value of $\frac{\sqrt5}{2}+\frac{5}{3\sqrt5}-\sqrt{45}$?
Option 1: – 8.571
Option 2: – 4.845
Option 3: – 2.987
Option 4: – 6.261
Correct Answer: – 4.845
Solution :
Given:
$\sqrt{5} = 2.236$
$\frac{\sqrt{5}}{2} + \frac{5}{3\sqrt{5}} - \sqrt{45}$
Now evaluate the equation,
= $ \frac{\sqrt{5}\times3\sqrt{5} + 5\times2-3\sqrt{5}\times2\times3\sqrt{5}}{2\times3\sqrt{5}}$
= $ \frac{15 + 10 - 90}{2\times3\sqrt{5}}$
= $ -\frac{65}{2\times3\sqrt{5}}$
Rationalising the fraction
= $ -\frac{65\sqrt{5}}{30}$
Put the value of $\sqrt{5} = 2.236$
= $-\frac{65\times 2.236}{30} = -4.845$
Hence, the correct answer is – 4.845.
Related Questions
Know More about
Staff Selection Commission Sub Inspector ...
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Get Updates Brochure
Your Staff Selection Commission Sub Inspector Exam brochure has been successfully mailed to your registered email id “”.
