Question

Simplify: (1 point)

Answer 1

simplify what?

Answer 2

\[4\sqrt{2}+7\sqrt{2}-3\sqrt{2}\]

Answer 3

Since all the radicands are a 2, you can add or subtract like "normal" the 4 andd 7 and 3.
4+7-3=8 so your answer is \[8\sqrt{2}\]

Answer 4

thank you can you help me with more please

Answer 5

@IMStuck

Answer 6

of course!

Answer 7

what else did you need help with?

Answer 8

\[3\sqrt{10}+7\sqrt{15}-6\sqrt{10}-4\sqrt{15}\]

Answer 9

its simplifying too

Answer 10

ok here you combine the radicands 15 together, and then the radicands of 10 together. \[3\sqrt{10}-6\sqrt{10}=-3\sqrt{10}\]and do the same with the sqrt 15:\[7\sqrt{15}-4\sqrt{15}=3\sqrt{15}\]

Answer 11

The answer is \[3\sqrt{15}-3\sqrt{10}\]

Answer 12

thank you!! so theres one question where all the numbers are different this time can you show me how to do that one

Answer 13

yep!

Answer 14

\[7\sqrt{3}-4\sqrt{6}+\sqrt{48}-\]

Answer 15

\[-\]\[\sqrt{54}\]

Answer 16

ok the radicands 3 and 6 are simple enough as they are, you cannot get them to simplify any further. However, the 48 and the 54 each have a hidden perfect square in them. 48 is equal to 16*3 (16 is a perfect square) and 54 is 9*6 (9 is a perfect square. So let's rewrite:

Answer 17

\[7\sqrt{3}-4\sqrt{6}+\sqrt{16*3}-\sqrt{9*6}\]which simplifies to\[7\sqrt{3}-4\sqrt{6}+4\sqrt{3}-3\sqrt{6}\]

Answer 18

see now the radicands are either 3's or 6's. So they can be combined like this:\[7\sqrt{3}+4\sqrt{3}=11\sqrt{3}\]and\[-4\sqrt{6}-3\sqrt{6}=-7\sqrt{6}\]

Answer 19

The final answer is\[11\sqrt{3}-7\sqrt{6}\]

Answer 20

The idea with these is always the same...try to get the radicands to simplify into something you can combine other radicands with. That's what simplifying is all about.

Answer 21

ohhhhhhhhh I get it thank you so much, you really helped me!

Answer 22

You're welcome! I'm glad to help!