Im stumped by these:
evaluate if possible:
-3√64 (the 3 is supposed to be in the dip of the square root symbol)
4√81 ( the 3 is also supposed to be in the dip of the square root sign)
3√1/125 ( " " )
The cube root of 64 is 4
The fourth root of 81 is 3
The cube root of 1/125 is 1/5
To evaluate these expressions, we need to understand how to compute square roots and cube roots.
1. Evaluating -3√64:
In this expression, the cube root symbol (∛) is used. To evaluate, you need to find the number that, when raised to the power of 3, gives you 64.
In this case, the cube root of 64 is 4, as 4*4*4 = 64. However, we also have a negative sign (-) in front of the cube root.
So, the answer is -4.
2. Evaluating 4√81:
In this expression, the fourth root symbol (∜) is used. To evaluate, you need to find the number that, when raised to the power of 4, gives you 81.
In this case, the fourth root of 81 is 3, as 3*3*3*3 = 81.
So, the answer is 3.
3. Evaluating 3√1/125:
Similar to the first expression, we have the cube root symbol (∛). To evaluate, you need to find the number that, when raised to the power of 3, gives you 1/125.
In this case, the cube root of 1/125 is 1/5, as (1/5)*(1/5)*(1/5) = 1/125.
So, the answer is 1/5.
In general, to evaluate expressions with roots, you need to find the number that, when raised to the corresponding power, gives you the value inside the root symbol.