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

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Answer 1 · 2015-06-02T04:35:18

The question can be interpreted in two ways:
1. $\sqrt{50} \cdot \sqrt{2}$ $sqrt50*sqrt2$
2. $\sqrt{50 \cdot \sqrt{2}}$ $sqrt(50*sqrt2)$

Solution for 1)

$\sqrt{50} \cdot \sqrt{2} = \sqrt{50 \cdot 2} = \sqrt{100} = 10$ $sqrt50 * sqrt 2 = sqrt(50*2) = sqrt(100) = color(green)(10$

Solution for 2)

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

50 times $\sqrt{2}$ $sqrt2$
$= 50 \times 1.414 = 70.7$ $= 50 xx 1.414 = 70.7$

square root of $50 \sqrt{2}$ $50sqrt2$ :
$\sqrt{70.7} \approx 8.41$ $sqrt70.7 color(green)(approx8.41$