√5(√8+√18)
You asked:
Evaluate the expression: \(\sqrt{5} \left(\sqrt{8} + \sqrt{18}\right)\)
MathBot Answer:
\[\sqrt{5} \left(\sqrt{8} + \sqrt{18}\right) = 5 \sqrt{10} \approx 15.81138830084189665999446772216359\]
\[\begin{aligned}\sqrt{5} \left(\sqrt{8} + \sqrt{18}\right)& = \sqrt{5} \cdot \left(\sqrt{8} + \sqrt{18}\right)\\& = \sqrt{5} \cdot \left(2 \cdot \sqrt{2} + \sqrt{18}\right)\\& = \sqrt{5} \cdot \left(2 \cdot \sqrt{2} + 3 \cdot \sqrt{2}\right)\\& = \sqrt{5} \cdot 5 \cdot \sqrt{2}\\& = 5 \cdot \sqrt{10}\end{aligned}\]