Solve d^3330-60011

Question

Simplify the expression

330 d^{3} - 60011

Evaluate

d^{3} \times 330 - 60011

Solution

330 d^{3} - 60011

Show Solution

d = \frac{3 60011 \times 33 0 ^{2}}{330}

Alternative Form

d \approx 5.66551

Evaluate

d^{3} \times 330 - 60011

To find the roots of the expression,set the expression equal to 0

d^{3} \times 330 - 60011 = 0

Use the commutative property to reorder the terms

330 d^{3} - 60011 = 0

Move the constant to the right-hand side and change its sign

330 d^{3} = 0 + 60011

Removing 0 doesn't change the value,so remove it from the expression

330 d^{3} = 60011

Divide both sides

\frac{330 d ^{3}}{330} = \frac{60011}{330}

Divide the numbers

d^{3} = \frac{60011}{330}

Take the 3 -th root on both sides of the equation

3 d^{3} = 3 \frac{60011}{330}

Calculate

d = 3 \frac{60011}{330}

Solution

More Steps

Evaluate

3 \frac{60011}{330}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{3 60011}{3 330}

Multiply by the Conjugate

\frac{3 60011 \times 3 33 0 ^{2}}{3 330 \times 3 33 0 ^{2}}

The product of roots with the same index is equal to the root of the product

\frac{3 60011 \times 33 0 ^{2}}{3 330 \times 3 33 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

3330 \times 3 33 0^{2}

The product of roots with the same index is equal to the root of the product

3 330 \times 33 0^{2}

Calculate the product

3 33 0^{3}

Reduce the index of the radical and exponent with 3

330

\frac{3 60011 \times 33 0 ^{2}}{330}

d = \frac{3 60011 \times 33 0 ^{2}}{330}

Alternative Form

d \approx 5.66551

Show Solution