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

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