Rewrite the following in simplified radical form.
(sqrt24w^8)
I got 4w^2sqrt6w
is that right?
√(24w^8) = √(4* 6 * w^4 * w^4) = 2w^4√6
thanks for the clarification I forgot to bring the 4 out as a 2
To rewrite sqrt(24w^8) in simplified radical form, we need to simplify the expression under the square root sign.
First, let's break down the number and the variable.
sqrt(24) = sqrt(4 * 6)
= sqrt(4) * sqrt(6)
= 2 * sqrt(6)
Next, let's deal with the variable.
sqrt(w^8) = sqrt(w^4 * w^4)
= sqrt(w^4) * sqrt(w^4)
= w^2 * w^2
= w^4
Now, let's combine the simplified numbers and the simplified variable back together.
sqrt(24w^8) = 2 * sqrt(6) * w^4
Hence, the simplified radical form of sqrt(24w^8) is 2sqrt(6)w^4.