simplify the following rational expression. Use absolute value symbols when needed.
3sqrt(8/512) -
To simplify the rational expression 3sqrt(8/512), we can simplify the numerator and denominator separately.
Let's simplify the numerator:
3sqrt(8) = 3sqrt(2^3) = 3*2sqrt(2) = 6sqrt(2)
Now let's simplify the denominator:
sqrt(512) = sqrt(2^9) = 2^4sqrt(2) = 16sqrt(2)
Now we can rewrite the expression:
(6sqrt(2))/(16sqrt(2))
Since the denominator and numerator have the same square root term (sqrt(2)), we can cancel it out:
(6/16) = 3/8
Therefore, the simplified expression is 3/8.