30−−√ is between what 2 numbers
Since √30 = 5.477, we can say that 30−−√ is between 5 and 6.
To find the range of values for the expression 30 - √x, where x is a variable, we can consider the minimum and maximum values of √x.
The minimum value of √x is 0 when x is 0. So, the minimum value of the expression is 30 - √0 = 30 - 0 = 30.
The maximum value of √x is √∞, which is undefined. However, we can find an upper bound by considering the largest possible value for x. Let's assume x is a positive real number, then the largest value of x can approach infinity.
So, as x approaches infinity, the expression 30 - √x approaches 30 - (√∞) which can be considered as the upper bound. In this case, the expression tends towards 30 - 0, which is equal to 30.
Therefore, 30 - √x is between 30 and 30 for any positive real value of x.
Note: If x is negative, then the expression 30 - √x will not be defined.