Question

$$2 \times 15 \times \frac{ 1 }{ \sqrt{ 2 } }$$

Answer

(30*sqrt(2))/2

Solution


Rationalize the denominator: \(2\times 15\times \frac{1}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}}=\frac{2\times 15\sqrt{2}}{2}\).
\[\frac{2\times 15\sqrt{2}}{2}\]
Simplify  \(2\times 15\sqrt{2}\)  to  \(30\sqrt{2}\).
\[\frac{30\sqrt{2}}{2}\]

Decimal Form: 21.213203