((sqrt(3))/2)/(1/2)
To divide by a fraction, we can multiply by the reciprocal of that fraction.
Thus, to simplify the expression ((sqrt(3))/2)/(1/2), we can multiply the numerator by 2/1 and the denominator by 2/1:
((sqrt(3))/2) * (2/1) / (1/2) * (2/1)
This simplifies to:
(sqrt(3)) * 2 / 1 * 2
sqrt(3) * 2 = 2sqrt(3)
Therefore, ((sqrt(3))/2)/(1/2) simplifies to 2sqrt(3).
To simplify the given expression ((sqrt(3))/2)/(1/2), we can multiply the numerator by the reciprocal of the denominator. The reciprocal of 1/2 is 2/1 or simply 2.
Therefore, ((sqrt(3))/2)/(1/2) = ((sqrt(3))/2) * (2/1).
Multiplying the numerators and the denominators, we get:
((sqrt(3)) * 2) / (2 * 1).
Simplifying further, we have:
(2 * sqrt(3)) / 2.
Now, canceling out the common factor of 2, we get:
sqrt(3).
Therefore, the simplified value of ((sqrt(3))/2)/(1/2) is sqrt(3).
To simplify the expression ((sqrt(3))/2)/(1/2), we need to follow a few steps:
Step 1: Simplify the expression within parentheses.
((sqrt(3))/2)/(1/2) becomes ((sqrt(3))/2) * (2/1) because division by a fraction is equivalent to multiplication by its reciprocal.
Step 2: Simplify the expression within each fraction.
(sqrt(3))/2 does not simplify further as the square root cannot be simplified.
2/1 is already in its simplest form.
Step 3: Multiply the numerators together and the denominators together.
((sqrt(3))*2)/(2*1)
Step 4: Simplify the expression.
((sqrt(3))*2) simplifies to 2(sqrt(3)) because multiplying a number by the square root leaves the square root intact.
(2*1) simplifies to 2.
Therefore, the simplified expression is:
2(sqrt(3))/2
Now, let's simplify this further:
2(sqrt(3))/2 can be further simplified by canceling out the common factor 2 in both the numerator and the denominator.
Canceling out the 2, we are left with:
sqrt(3)/1
So, the final simplified expression is:
sqrt(3)