Symplify (radical x/8)

is the answer x (radical 2)/4

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

i tried it again. is it (2 radical 2x)/(8)

It depends if the expression is

√x/8 where there is no simplification, or
√(x/8)
=√x/√8
=√(x)/(2√2)
=(1/2)&radic(x/2)
or, if you wish, it could have been
=√x/(2√2)

By the way, if you would like to write √, you could simply write
& r a d i c ;
without the intervening spaces.
Do not forget to add sufficient parentheses or else it would be ambiguous.

After getting �ã(x)/(2�ã2)

why don't u multiply both sides by &radic(2)

after gettin &radic x/(2 &radic 2) why don't you multiply top and bottom by &radic 2

ok i kind of get it

Yes, you have a point:

=√x/(2√2)
=(1/4)√(2x)

To simplify the expression (√(x/8)), you can start by simplifying the fraction inside the square root. The fraction x/8 can be simplified by dividing both the numerator (x) and the denominator (8) by their greatest common factor, which is 8.

So, x/8 simplifies to x/8 = x/2.

Now, substitute the simplified fraction into the original expression:

√(x/8) = √(x/2)

Next, √(x/2) can be further simplified by rationalizing the denominator. To do this, multiply both the numerator and the denominator by the conjugate of the denominator, which is √2.

So, √(x/2) * (√2/√2) = (√2 * x) / (√2 * 2)

Simplifying the expression within the square root further, √2 * 2 is equal to √(2^2) = 2.

Thus, the simplified expression becomes (√2 * x) / 2.

In conclusion, the simplified form of √(x/8) is (x * √2) / 2, where the square root symbol applies only to the √2 part and not to the x.