Symplify (radical x/8)

is the answer x (radical 2)/4

No. How did you get the x out from under the radical sign? Is the 1/8 under the sign or not?

its in the sign: radical (x/8)

i put it to be (x/2 radical 2)* (Radical 2/radical 2)=(x radical 2/4)

i wrote that last reply

To simplify the expression (radical x/8), we can start by splitting the radical into separate radicals.

First, we can split the radical x into x times the square root of x. So, we have x times the square root of (1/8).

Next, let's simplify the square root of 1/8. To simplify a square root with a fraction, we can split the fraction into its factors and simplify each factor separately.

The factorization of 1/8 is 1/2 * 1/4. Notice that the square root of 1/2 is (square root of 1) divided by (square root of 2). Similarly, the square root of 1/4 is (square root of 1) divided by (square root of 4). Since the square root of 1 is 1, we can simplify the square root of 1/2 to 1/(square root of 2) and the square root of 1/4 to 1/2.

Putting it all together, we have x times (1/(square root of 2)) times (1/2), which simplifies to (x/(2 square root of 2)).

Therefore, the simplified expression is x times (square root of 2) divided by 4, or (x(square root of 2))/4.