What is the following product?

2√42    +   7√2 - 6 - √21

Step-by-step explanation:

Use the FOIL method:  first terms, outer terms, inner terms, last terms:

√[14·12] + √[14·7] - √36 - √21

This simplifies to:  √[3·4·14} + √98 - 6 - √21, or

                                2√42    +   7√2 - 6 - √21

This matches the first answer choice.

i can answer this question sweetie!

step-by-step explanation:

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.