Question

Simplify the expression.

(Expression in the comments below)

Answer 1

\[4\sqrt{16a^6b^{12}}\]

Answer 2

@nikato @poopsiedoodle @Mertsj

Answer 3

Remember that taking the square root is the inverse of raising to the second power so write all of the stuff underneath the radical in the form: (something)^2

Answer 4

For example: 16=4^2

Answer 5

You can ignore the 4 outside the radical for now.
So u have
sqrt 16 x sqrt a^6 x sqrt b^12
= 4 x a^3 x b^6
=4a^3b^6
Now remember the 4 we isolated in the beginning
So 4(4a^3b^6)
=16a^3b^6

Answer 6

Sqrt of a variable is just dividing the exponent by 2

Answer 7

Okay.

Answer 8

So...do you understand this now?

Answer 9

So the final answer would conclude to 16a^3b^6? and kind of.. Not fully =/.

Answer 10

Kind of slow in math sorry lol.

Answer 11

Yes. And what do you by kind of and not fully

Answer 12

Where you said

"sqrt 16 x sqrt a^6 x sqrt b^12" confuses me O_o do you just put square root in front of everything then and ignore the outside?

Answer 13

and my school said it was wrong >.<

Answer 14

Did I do something wrong?.... Do you know what the correct answer was?

Answer 15

\[4\sqrt{16a^6b ^{12}}=4\sqrt{4^2(a^3)^2(b^6)^2}=4\sqrt{4^2}\sqrt{(a^3)^2}\sqrt{(b^6)^2}=4(4)(a^3)(b^6)=16a^3b^6\]