(2sqrt(5)*sqrt(3))^2+(1*2sqrt(15))^2 = 120
Using this website calculator.
another method:
\(2\sqrt{5}=2*5^\frac{1}{2}\)
\(\sqrt{3}=3^\frac{1}{2}\)
So the first bracket can be written as:
\((2*5^\frac{1}{2}*3^\frac{1}{2})^2\)
Now using laws of exponentials, multiply each number by the exponent which is 2 so:
\(4*5*3\)=60
So the first term is 60 (I.e. first bracket)
Second bracket:
\((1*2\sqrt{15})^2=(1*2*15^\frac{1}{2})^2\)
same,
\(1*4*15\)=60
Add both,
\((4*5*3)+(1*4*15)=60+60=120\)
+1252 \((2\sqrt5 \times \sqrt3)^2 + (1 \times 2\sqrt{15})^2\)
\((2\sqrt{15})^2+(2\sqrt{15})^2\)
Solve from here.
You are very welcome!
:P
