Factorize:$2x^2 + 3\sqrt{5}x + 5$

Given :

To do :

We have to factorize the given expression.

Solution :

$2 x^{2}+3 \sqrt{5} x+5 = 2 x^{2}+2 \sqrt{5} x+\sqrt{5} x+5$         {Since $3 \sqrt{5}=2 \sqrt{5} +\sqrt{5}$ and $2 \sqrt{5} \times \sqrt{5}=10=2\times5$] 

$=2 x(x+\sqrt{5})+\sqrt{5}(x+\sqrt{5})$

$=(x+\sqrt{5})(2 x+\sqrt{5})$

Hence, $2 x^{2}+3 \sqrt{5} x+5 =(x+\sqrt{5})(2 x+\sqrt{5})$.

Tutorialspoint

e

Updated on: 10-Oct-2022

63 Views

Kickstart Your Career

Get certified by completing the course

Get Started