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#