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

1 Answer
Jun 2, 2015

The question can be interpreted in two ways:
1. sqrt50*sqrt2502
2. sqrt(50*sqrt2)502

Solution for 1)

sqrt50 * sqrt 2 = sqrt(50*2) = sqrt(100) = color(green)(10502=502=100=10

Solution for 2)

square root of 2:
sqrt 2 = 1.4142=1.414

50 times sqrt22
= 50 xx 1.414 = 70.7 =50×1.414=70.7

square root of 50sqrt2502 :
sqrt70.7 color(green)(approx8.4170.78.41