Solve 136080d^31-100006

Question

Simplify the expression

136080 d^{3} - 100006

Evaluate

136080 d^{3} \times 1 - 100006

Solution

136080 d^{3} - 100006

Show Solution

2 (68040 d^{3} - 50003)

Evaluate

136080 d^{3} \times 1 - 100006

Multiply the terms

136080 d^{3} - 100006

Solution

2 (68040 d^{3} - 50003)

Show Solution

d = \frac{3 50003 \times 31 5 ^{2}}{1890}

Alternative Form

d \approx 0.902424

Evaluate

136080 d^{3} \times 1 - 100006

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

136080 d^{3} \times 1 - 100006 = 0

Multiply the terms

136080 d^{3} - 100006 = 0

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

136080 d^{3} = 0 + 100006

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

136080 d^{3} = 100006

Divide both sides

\frac{136080 d ^{3}}{136080} = \frac{100006}{136080}

Divide the numbers

d^{3} = \frac{100006}{136080}

Cancel out the common factor 2

d^{3} = \frac{50003}{68040}

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

3 d^{3} = 3 \frac{50003}{68040}

Calculate

d = 3 \frac{50003}{68040}

Solution

More Steps

Evaluate

3 \frac{50003}{68040}

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

\frac{3 50003}{3 68040}

Simplify the radical expression

More Steps

Evaluate

368040

Write the expression as a product where the root of one of the factors can be evaluated

3 216 \times 315

Write the number in exponential form with the base of 6

3 6^{3} \times 315

The root of a product is equal to the product of the roots of each factor

3 6^{3} \times 3315

Reduce the index of the radical and exponent with 3

63315

\frac{3 50003}{6 3 315}

Multiply by the Conjugate

\frac{3 50003 \times 3 31 5 ^{2}}{6 3 315 \times 3 31 5 ^{2}}

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

\frac{3 50003 \times 31 5 ^{2}}{6 3 315 \times 3 31 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

63315 \times 3 31 5^{2}

Multiply the terms

6 \times 315

Multiply the terms

1890

\frac{3 50003 \times 31 5 ^{2}}{1890}

d = \frac{3 50003 \times 31 5 ^{2}}{1890}

Alternative Form

d \approx 0.902424

Show Solution