rationalize denominator and simplify:
v/...| is square root
(v/5))/(v/15))
please help
wow that looks so much more complicated than it is. the square root of 5 over the square root of 15, if the parentheses and crap above was confusing
To rationalize the denominator and simplify the expression (v/5)/(v/15), we need to eliminate the square roots in the denominator.
Step 1: Write the expression:
(v/5)/(v/15)
Step 2: Rationalize the denominator:
To rationalize the denominator, we need to multiply both the numerator and the denominator by the conjugate of the denominator. In this case, the conjugate of (v/15) is (v/15).
(v/5)/(v/15) * (v/15)/(v/15)
Step 3: Simplify the expression:
The numerator can be simplified to v * v, which is v^2. The denominator can be simplified to 5 * 15, which is 75.
(v^2)/(75)
So, the expression (v/5)/(v/15) simplifies to v^2/75