Solve dd^2866-1 - ScanMath

Question

Simplify the expression

866 d^{3} - 1

Evaluate

d \times d^{2} \times 866 - 1

Solution

More Steps

Evaluate

d \times d^{2} \times 866

Multiply the terms with the same base by adding their exponents

d^{1 + 2} \times 866

Add the numbers

d^{3} \times 866

Use the commutative property to reorder the terms

866 d^{3}

866 d^{3} - 1

Show Solution

d = \frac{3 86 6 ^{2}}{866}

Alternative Form

d \approx 0.104913

Evaluate

d \times d^{2} \times 866 - 1

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

d \times d^{2} \times 866 - 1 = 0

Multiply

More Steps

Multiply the terms

d \times d^{2} \times 866

Multiply the terms with the same base by adding their exponents

d^{1 + 2} \times 866

Add the numbers

d^{3} \times 866

Use the commutative property to reorder the terms

866 d^{3}

866 d^{3} - 1 = 0

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

866 d^{3} = 0 + 1

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

866 d^{3} = 1

Divide both sides

\frac{866 d ^{3}}{866} = \frac{1}{866}

Divide the numbers

d^{3} = \frac{1}{866}

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

3 d^{3} = 3 \frac{1}{866}

Calculate

d = 3 \frac{1}{866}

Solution

More Steps

Evaluate

3 \frac{1}{866}

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

\frac{3 1}{3 866}

Simplify the radical expression

\frac{1}{3 866}

Multiply by the Conjugate

\frac{3 86 6 ^{2}}{3 866 \times 3 86 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

3866 \times 3 86 6^{2}

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

3 866 \times 86 6^{2}

Calculate the product

3 86 6^{3}

Reduce the index of the radical and exponent with 3

866

\frac{3 86 6 ^{2}}{866}

d = \frac{3 86 6 ^{2}}{866}

Alternative Form

d \approx 0.104913

Show Solution