# What is the square root of 50 times the square root of two?

Jun 2, 2015

The question can be interpreted in two ways:
1. $\sqrt{50} \cdot \sqrt{2}$
2. $\sqrt{50 \cdot \sqrt{2}}$

Solution for 1)

sqrt50 * sqrt 2 = sqrt(50*2) = sqrt(100) = color(green)(10

Solution for 2)

square root of 2:
$\sqrt{2} = 1.414$

50 times $\sqrt{2}$
$= 50 \times 1.414 = 70.7$

square root of $50 \sqrt{2}$ :
 sqrt70.7 color(green)(approx8.41