simplify: sqrt (3/8)

a)3/4
b) sqrt(3) / 2 sqrt(2)
c) 3/ sqrt (2)
d)sqrt(6/4)

√(3/8)

= √3/√8 * √8/√8
= √24/8
= 2√6/8
= √6/4

which does not match any of your answers, unless you were careless with the use of brackets.

im so clueless on how to write this square roots

It is not the way you write the square root sign, but rather your use of brackets that is the problem.

e.g. for the correct answer above, you should have written

sqrt(6)/4
(take the square root of 6, then divide by 4,
the way you had it says, divide 6 by 4, then take the square root)

You need to take care when transcribing a properly typeset expression onto one line for posting.

The numerator and denominator are well defined in the original document, which we do not see.
Whenever you encounter a division (or a fraction), you will need to insert parentheses to delimit the numerator and denominator. The same applies to square-roots.

For example, in answer (b) above, if it was printed as:

√3
--------
2√2

You will mentally insert parentheses around the numerator and denominator as follows:

(√3)
--------
(2√2)

Then transcribe it as:
(sqrt(3))/(2sqrt(2)) to give the same expression. The pair of parentheses around the numerator may then be optionally removed, afterwards.

To simplify the expression √(3/8), we can follow these steps:

Step 1: Simplify the fraction under the square root sign.
We can simplify 3/8 by dividing both the numerator and denominator by their greatest common factor, which is 1:
3 ÷ 1 = 3
8 ÷ 1 = 8
So, 3/8 remains the same.

Step 2: Rewrite the expression.
The expression √(3/8) can be rewritten as √3/√8.

Step 3: Simplify the square root in the denominator.
To simplify the square root of 8, we can break it down into its prime factors:
8 = 2 × 2 × 2
So, √8 becomes √(2 × 2 × 2).

Step 4: Simplify the square root in the denominator.
Since the square root of each individual factor is √2, we can simplify √(2 × 2 × 2) as 2 × √2, which equals 2√2.

Now that we have simplified the expression, we can compare it to the answer choices provided:

a) 3/4: This is not the simplified form of √(3/8).
b) √3 / 2√2: This is the simplified form of √(3/8).
c) 3/√2: This is not the simplified form of √(3/8).
d) √(6/4): This is not the same expression as √(3/8).

Therefore, the simplified form of √(3/8) is b) √3 / 2√2.