To solve the expression 2/3√81 - 5, we first need to simplify it step by step.
First, let's simplify the term inside the square root: √81. The square root of 81 is 9 because 9 x 9 = 81.
So, the expression becomes: 2/3√9 - 5.
Next, let's simplify 2/3√9. The square root of 9 is 3 because 3 x 3 = 9.
So, the expression now becomes: 2/3(3) - 5.
Now, let's simplify 2/3(3). Multiplying 2/3 by 3, we get: 2/3 x 3 = 6/3 = 2.
So, the expression becomes: 2 - 5.
Finally, subtracting 5 from 2, we get: 2 - 5 = -3.
Therefore, the value of the expression 2/3√81 - 5 is -3.
