To find the cubic root of 56, we need to find a number that, when multiplied by itself three times, equals 56.
We can start by trying different numbers.
Let's start with the number 2:
2^3 = 2 * 2 * 2 = 8; this is less than 56.
Next, let's try the number 3:
3^3 = 3 * 3 * 3 = 27; this is also less than 56.
Since 56 is between 27 and 8, the cubic root of 56 must be a number between 2 and 3.
Let's try a decimal number between 2 and 3, such as 2.5:
2.5^3 = 2.5 * 2.5 * 2.5 = 15.625; this is still less than 56.
We see that 56 is greater than 15.625 but less than 27, so the cubic root of 56 lies between 2.5 and 3.
To get a more accurate approximation, we can try numbers closer to 2.5. Let's try 2.6:
2.6^3 = 2.6 * 2.6 * 2.6 = 17.576; this is still less than 56.
Similarly, let us try 2.7:
2.7^3 = 2.7 * 2.7 * 2.7 = 19.683; this is greater than 56.
Thus, we find that the cubic root of 56 lies between 2.6 and 2.7.
So, the approximate value for the cubic root of 56 is around 2.6.
Find the cubic root 56. Can you also explain how you got the answer?
1 answer