Question

simplify: sqrt (3/8)

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

Answer 1

√(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.

Answer 2

im so clueless on how to write this square roots

Answer 3

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)

Answer 4

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:

<b>(</b>√3<b>)</b>
--------
<b>(</b>2√2<b>)</b>

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, <i>afterwards</i>.