What is the square root of 2 times the square root of 3?

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Answer 1 · 2015-06-02T04:27:43

This question can be interpreted in two ways
1) # sqrt2 . sqrt3#
2) # sqrt(2.sqrt3#

Solution 1
# sqrt2 . sqrt3#
# = sqrt6 color(blue)( approx 2.45#

solution 2:

# sqrt(2.sqrt3#

1) finding #sqrt3 = color(blue)(1.732#

2) finding, 2 times the square root of 3:
# 2 xx sqrt3 = 2 xx 1.732#
# = color(blue)(3.464#

3) square root of 3.464

# = sqrt3.464 approx color(blue)(1.86#