3√7 -3 √28 + √63
You asked:
Evaluate the expression: \(3 \cdot \sqrt{7} - 3 \cdot \sqrt{28} + \sqrt{63}\)
MathBot Answer:
\[3 \cdot \sqrt{7} - 3 \cdot \sqrt{28} + \sqrt{63} = 0\]
\[\begin{aligned}3 \cdot \sqrt{7} - 3 \cdot \sqrt{28} + \sqrt{63}& = 3 \cdot \sqrt{7} - 3 \cdot 2 \cdot \sqrt{7} + \sqrt{63}\\& = 3 \cdot \sqrt{7} - 6 \cdot \sqrt{7} + \sqrt{63}\\& = 3 \cdot \sqrt{7} - 6 \cdot \sqrt{7} + 3 \cdot \sqrt{7}\\& = -3 \cdot \sqrt{7} + 3 \cdot \sqrt{7}\\& = 0\end{aligned}\]