what are the restrictions on the vaule of variables in the following radical expression
√4-t/√3t
The given radical expression is √(4-t)/√(3t).
In this expression, there are two main restrictions on the values of variables:
1. The denominator of a radical cannot be zero, so t cannot be equal to zero. This is because division by zero is undefined.
2. The values under the radical sign (inside the square root) cannot be negative. Therefore, 4-t ≥ 0 and 3t > 0.
- From the first inequality, we have t ≤ 4.
- From the second inequality, we have t > 0.
Combining both restrictions, the value of t must satisfy 0 < t ≤ 4.