What is the sum of square root -2 and square root -18

4 square root of 2 i (i it's outside the square root)

explanation:

square root of -2 = square root of 2 i (i being outside)

and square root of -18 = square root of 1 and square root of 9*2, square root of 1 = i, and the square root of 9 is 3, leaving square 2 alone

so it would look like:

square root of 2 i PLUS 3 square root of 2 i (i being outside as well)

there is a 1 outside the square root of 2 i, that 1 adds up with the 3 and since the square roots are the same, they stay the same

so 4 square root of 2 i

part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft