Question

Adding and subtracting radical expression, how do you solve 4√12 - √75

Answer 1

HI!!

Answer 2

you need to write both in simplest radical form

Answer 3

Look inside each root, and factor out the largest perfect square you can.

Answer 4

is it 4√6√2 - √25√3

Answer 5

no

Answer 6

the second one is close

Answer 7

\[-5\sqrt3\] for the second one, since \(\sqrt{25}=5\)

Answer 8

6 is not a perfect square, so it won't help.
In the second root, 25 is good.

Answer 9

Ooooh

Answer 10

\[12=4\times 3\] so
\[\sqrt{12}=\sqrt4\sqrt3=2\sqrt3\]

Answer 11

the entire thing becomes
\[8\sqrt3-5\sqrt3\]

Answer 12

then combine like terms like
\[8x-5x\]

Answer 13

My goodness! It looks so complicated