The expression that is greater than ³√125 is A. √125.
Because of the 3 above the radical in the original number, we know it's asking for the cube root of 125.
Between the square root and cube root of 125, the square root is much higher.
You can think of it by thinking of the square and cube of numbers.
2^2 = 4
2^3 = 8
2^2 = 2 * 2
2^3 = 2 * 2 * 2
Because of this, we know that √125 is going to be a higher number than ³√125.
Let's move on to the other possible answers so we can eliminate them.
We know that √25 is going to be less than √125 because the radicand is 5x larger than 25.
We know that ³√1,000/125 is going to be a very small number, as the cube root of 1000 is 10. 10/125 is a very small number.
We also know that 5 is less than √125, as √125 is larger than √25, and √25 is equal to 5.
