Welcome to our community

Be a part of something great, join today!

Simplify (√3 + 2√5)²

pan90

New member
Jul 30, 2019
4
How?

simplify prob.jpg

Taken from HiSet free practice test
 

topsquark

Well-known member
MHB Math Helper
Aug 30, 2012
1,120
How?



Taken from HiSet free practice test
FOIL it out:
\(\displaystyle ( \sqrt{3} + 2 \sqrt{5} ) ^2 = ( \sqrt{3} + 2 \sqrt{5} ) ( \sqrt{3} + 2 \sqrt{5} )\)

\(\displaystyle = ( \sqrt{3} )^2 + \sqrt{3} \cdot 2 \sqrt{5} + 2 \sqrt{5} \cdot \sqrt{3} + (2 \sqrt{5} )^2\)

Can you finish from here?

-Dan