34√3+3 times 15√2+3
You asked:
Evaluate the expression: \(34 \cdot \sqrt{3} + 3 \cdot 15 \cdot \sqrt{2} + 3\)
MathBot Answer:
\[34 \cdot \sqrt{3} + 3 \cdot 15 \cdot \sqrt{2} + 3 = 3 + 34 \sqrt{3} + 45 \sqrt{2} \approx 125.52933776413110517600916820063607\]
\[\begin{aligned}34 \cdot \sqrt{3} + 3 \cdot 15 \cdot \sqrt{2} + 3& = 34 \cdot \sqrt{3} + 45 \cdot \sqrt{2} + 3\\& = \left(34 \cdot \sqrt{3} + 45 \cdot \sqrt{2}\right) + 3\\& = 3 + 34 \cdot \sqrt{3} + 45 \cdot \sqrt{2}\end{aligned}\]