Solve d^3340-60001

Question

Simplify the expression

340 d^{3} - 60001

Evaluate

d^{3} \times 340 - 60001

Solution

340 d^{3} - 60001

Show Solution

d = \frac{3 60001 \times 34 0 ^{2}}{340}

Alternative Form

d \approx 5.6091

Evaluate

d^{3} \times 340 - 60001

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

d^{3} \times 340 - 60001 = 0

Use the commutative property to reorder the terms

340 d^{3} - 60001 = 0

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

340 d^{3} = 0 + 60001

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

340 d^{3} = 60001

Divide both sides

\frac{340 d ^{3}}{340} = \frac{60001}{340}

Divide the numbers

d^{3} = \frac{60001}{340}

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

3 d^{3} = 3 \frac{60001}{340}

Calculate

d = 3 \frac{60001}{340}

Solution

More Steps

Evaluate

3 \frac{60001}{340}

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

\frac{3 60001}{3 340}

Multiply by the Conjugate

\frac{3 60001 \times 3 34 0 ^{2}}{3 340 \times 3 34 0 ^{2}}

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

\frac{3 60001 \times 34 0 ^{2}}{3 340 \times 3 34 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

3340 \times 3 34 0^{2}

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

3 340 \times 34 0^{2}

Calculate the product

3 34 0^{3}

Reduce the index of the radical and exponent with 3

340

\frac{3 60001 \times 34 0 ^{2}}{340}

d = \frac{3 60001 \times 34 0 ^{2}}{340}

Alternative Form

d \approx 5.6091

Show Solution