How do you explain that √(m+n)=√m+ √n is not true for all values? (example: m=5 and n=4)

Square the expressions to see the difference.

Step-by-step explanation:

.

Squaring this we have:

Now,

Squaring this we get:

For the two expressions to be equal, we should have

⇔ .

This is possible iff mn = 0. i.e, m = 0 or n = 0.

Otherwise, they are not equal.

When m = 5 and n = 4.

First is an integer. Second is an irrational number.

Clearly, they are not equal.

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option