Find the square root of the following:
4x2 + 9y2 + 25z2–12xy + 30yz–20zx
The above expression can be rewritten as
(2x)2 + (–3y)2 + (–5z)2 + 2((–3y)×(2x) + (–5z)×(–3y) + (2x)×(–5z))
The above expression is in the form of
(a–b–c)2 = a2 + b2 + c2 + 2(–ab + bc – ca)
So the expression becomes (2x–3y–5z)2
Square Root = √(2x–3y–5z)2
|2x–3y–5z|