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. $sqrt50*sqrt2$
2. $sqrt(50*sqrt2)$

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 $sqrt2$
$= 50 xx 1.414 = 70.7$

square root of $50sqrt2$ :
$sqrt70.7 color(green)(approx8.41$