Solve d^3171-8 - ScanMath

Question

Simplify the expression

171 d^{3} - 8

Evaluate

d^{3} \times 171 - 8

Solution

171 d^{3} - 8

Show Solution

d = \frac{2 3 1083}{57}

Alternative Form

d \approx 0.360328

Evaluate

d^{3} \times 171 - 8

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

d^{3} \times 171 - 8 = 0

Use the commutative property to reorder the terms

171 d^{3} - 8 = 0

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

171 d^{3} = 0 + 8

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

171 d^{3} = 8

Divide both sides

\frac{171 d ^{3}}{171} = \frac{8}{171}

Divide the numbers

d^{3} = \frac{8}{171}

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

3 d^{3} = 3 \frac{8}{171}

Calculate

d = 3 \frac{8}{171}

Solution

More Steps

Evaluate

3 \frac{8}{171}

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

\frac{3 8}{3 171}

Simplify the radical expression

More Steps

Evaluate

38

Write the number in exponential form with the base of 2

3 2^{3}

Reduce the index of the radical and exponent with 3

2

\frac{2}{3 171}

Multiply by the Conjugate

\frac{2 3 17 1 ^{2}}{3 171 \times 3 17 1 ^{2}}

Simplify

\frac{2 \times 3 3 1083}{3 171 \times 3 17 1 ^{2}}

Multiply the numbers

\frac{6 3 1083}{3 171 \times 3 17 1 ^{2}}

Multiply the numbers

More Steps

Evaluate

3171 \times 3 17 1^{2}

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

3 171 \times 17 1^{2}

Calculate the product

3 17 1^{3}

Reduce the index of the radical and exponent with 3

171

\frac{6 3 1083}{171}

Cancel out the common factor 3

\frac{2 3 1083}{57}

d = \frac{2 3 1083}{57}

Alternative Form

d \approx 0.360328

Show Solution