What is ³√—72 simplified
The cube root of -72 simplified is -4.
To simplify the cube root of -72, we can break it down into prime factors.
The prime factorization of 72 is 2^3 * 3^2.
Since we are taking the cube root of -72, we can express it as -1 * (2^3 * 3^2).
Now, let's simplify each prime factor:
Cube root of -1 = -1 (since -1 * -1 * -1 = -1)
Cube root of 2^3 = 2
Cube root of 3^2 = 3
Therefore, the simplified form of the cube root of -72 is -2 * 3, which equals -6.
To simplify the expression ³√(-72), we need to find the cube root of -72.
Now, to find the cube root of any number, we need to look for a number that, when multiplied by itself three times, gives us the original number.
In this case, we need to find a number 'x' for which x * x * x = -72. Since -4 * -4 * -4 = -64, and -5 * -5 * -5 = -125, we know that the cube root of -72 lies between -4 and -5.
To get a more precise value, we can use a calculator or a math software. Plugging in -72 into a standard calculator, we find that the cube root of -72 is approximately -4.3267487109222245.
Therefore, the simplified expression is ³√(-72) ≈ -4.3267 (rounded to four decimal places).