The lengths of the side of a triangle are 5 cm, 12 cm, and 13 cm. find the lengths, to the nearest tenth, of the segments into which the bisector of each angle divides the opposite side.

Side 13 cm    the line is divided in the ratio 5:12

so segment lengths are  (5/17) * 13 and (12/17)*13 =  3.8cm and 9.2

in similar way  side 12  segments would be  (5/18) * 12 and (13/18)* 12

side 5 cm -  segments would be (12/25)* 5 and (13/25) * 5

 √3 *2 =  2√3

or

√3 * √2 = 2.4494...

Step-by-step explanation:

If you mean the expression  √3 * 2 then the solution is 2√3 since 2 is a rational number not under a square root and  √3 is irrational. They cannot be combined.

If you mean the expression  √3 * √2 then the expression has two pieces ti it √3 and √2. Since neither 3 nor 2 are perfect square, the square root of each is irrational.

Their product will also be irrational since √3 * √2 = √6. 6 is not a perfect square either. The result is irrational. It equals 2.4494...