Solve d^3811-2-0 - ScanMath

Question

Simplify the expression

811 d^{3} - 2

Evaluate

d^{3} \times 811 - 2 - 0

Use the commutative property to reorder the terms

811 d^{3} - 2 - 0

Solution

811 d^{3} - 2

Show Solution

d = \frac{3 2 \times 81 1 ^{2}}{811}

Alternative Form

d \approx 0.135104

Evaluate

d^{3} \times 811 - 2 - 0

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

d^{3} \times 811 - 2 - 0 = 0

Use the commutative property to reorder the terms

811 d^{3} - 2 - 0 = 0

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

811 d^{3} - 2 = 0

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

811 d^{3} = 0 + 2

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

811 d^{3} = 2

Divide both sides

\frac{811 d ^{3}}{811} = \frac{2}{811}

Divide the numbers

d^{3} = \frac{2}{811}

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

3 d^{3} = 3 \frac{2}{811}

Calculate

d = 3 \frac{2}{811}

Solution

More Steps

Evaluate

3 \frac{2}{811}

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

\frac{3 2}{3 811}

Multiply by the Conjugate

\frac{3 2 \times 3 81 1 ^{2}}{3 811 \times 3 81 1 ^{2}}

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

\frac{3 2 \times 81 1 ^{2}}{3 811 \times 3 81 1 ^{2}}

Multiply the numbers

More Steps

Evaluate

3811 \times 3 81 1^{2}

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

3 811 \times 81 1^{2}

Calculate the product

3 81 1^{3}

Reduce the index of the radical and exponent with 3

811

\frac{3 2 \times 81 1 ^{2}}{811}

d = \frac{3 2 \times 81 1 ^{2}}{811}

Alternative Form

d \approx 0.135104

Show Solution