Simplify

Question:

Simplify $(3+\sqrt{3})(2+\sqrt{2})^{2}$.

 

Solution:

$(3+\sqrt{3})(2+\sqrt{2})^{2}$

$=(3+\sqrt{3})\left[2^{2}+(\sqrt{2})^{2}+2 \times 2 \sqrt{2}\right]$

$=(3+\sqrt{3})[4+2+4 \sqrt{2}]$

$=(3+\sqrt{3})[6+4 \sqrt{2}]$

$=3 \times 6+3 \times 4 \sqrt{2}+\sqrt{3} \times 6+\sqrt{3} \times 4 \sqrt{2}$

$=18+12 \sqrt{2}+6 \sqrt{3}+4 \sqrt{6}$

Leave a comment

Close

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now