3√7 -3 √28 + √63

asked by guest
on Nov 23, 2024 at 1:39 pm



You asked:

Evaluate the expression: \(3 \cdot \sqrt{7} - 3 \cdot \sqrt{28} + \sqrt{63}\)

MathBot Answer:

\[3 \cdot \sqrt{7} - 3 \cdot \sqrt{28} + \sqrt{63} = 0\]


\[\begin{aligned}3 \cdot \sqrt{7} - 3 \cdot \sqrt{28} + \sqrt{63}& = 3 \cdot \sqrt{7} - 3 \cdot 2 \cdot \sqrt{7} + \sqrt{63}\\& = 3 \cdot \sqrt{7} - 6 \cdot \sqrt{7} + \sqrt{63}\\& = 3 \cdot \sqrt{7} - 6 \cdot \sqrt{7} + 3 \cdot \sqrt{7}\\& = -3 \cdot \sqrt{7} + 3 \cdot \sqrt{7}\\& = 0\end{aligned}\]