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

Jun 2, 2015

This question can be interpreted in two ways
1) $\sqrt{2} . \sqrt{3}$
2)  sqrt(2.sqrt3

Solution 1
$\sqrt{2} . \sqrt{3}$
 = 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:
$2 \times \sqrt{3} = 2 \times 1.732$
 = color(blue)(3.464

3) square root of 3.464

 = sqrt3.464 approx color(blue)(1.86