If 2+squareroot 3 is a polynomial root name another root of the polynomial and explain how you know it must be a root

Step-by-step explanation:

we are given one of root as

since, this is a root of polynomial

and this sqrt roots

we know that

sqrt roots and complex roots of any polynomial always exists in conjugate form

For example:

if we have root as

then other root must be conjugate of it

because both roots makes polynomial of real coefficient

so, other root must be

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.