Question

Need help simplifying.!!!
FAN AND MEDAL.!!

Answer 1

\[(\sqrt{32})(\sqrt{2})\]

Answer 2

@mathstudent55

Answer 3

the squareroot of 32 simplifies to 4 root2
so you just multiply 4 root 2 by root 2.
You understand

Answer 4

Yes so it would be 8

Answer 5

yep!

Answer 6

Thanks.! :)

Answer 7

As long as the indexes are the same, you can multiply them. The index here is 2, that is, they these are square roots. If they were both cube roots, you could multiply them, too. But they are both square roots, so \[\sqrt{32}\times \sqrt{2}=\sqrt{64}\]Since 64 is a perfect square, that simplifies to 8!

Answer 8

Thank you too.!

Answer 9

no problem! any other questions?

Answer 10

\[\sqrt{x+2}=2\sqrt{3}\]

Answer 11

Solve.

Answer 12

ok so square both sides of the equation

Answer 13

idk how to square x+2

Answer 14

it would just be x+2=12 because when you square \[\sqrt{x+2}\] you would just get x+2 understand?

Answer 15

But how would x+2 =12 Wouldn't it be 2x

Answer 16

why do you think it would be 2x

Answer 17

Because adding x to 2 would just be 2x because x is not a number

Answer 18

ok well you are trying to solve for x so think of it like this root 4 times root 4 it equals 4 right so when you do \[\sqrt{x+2} \times \sqrt{x+2}\] it would equal x+2 right.

Answer 19

so if x+2=12 then x=10 do you understand

Answer 20

actually this is x+2=144 so x=142