Square Root and Cube Root - Arithmetic Aptitude Questions and Answers

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If $\sqrt{5}$ = 2. 236 , then value of $\frac {\sqrt{5} } { 2 }$ - $\frac {10 } { \sqrt{5} }$ + $\sqrt{125}$ is equal to :

5.59

7.826

8.944

10.062

Answer : Option B

Explanation :

$\frac {\sqrt{5} } { 2 }$ - $\frac {10 } { \sqrt{5} }$ + $\sqrt{125}$ = $\frac {( \sqrt{5})^2-20 +2\sqrt{5}*5\sqrt{5}} { 2 \sqrt{5}}$

= $\frac { 5- 20 +50 } { 2\sqrt{5} }$

= $\frac {35} { 2\sqrt{5} }$ x $\frac {\sqrt{5}} { \sqrt{5} }$

= $\frac {35\sqrt{5}} {10 }$

= $\frac { 7*2.236 } { 2 }$

= 7 x 1.118

= 7.826

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