Solve m^39006/25-238

Question

Simplify the expression

\frac{9006}{25} m^{3} - 238

Evaluate

m^{3} \times \frac{9006}{25} - 238

Solution

\frac{9006}{25} m^{3} - 238

Show Solution

\frac{2}{25} (4503 m^{3} - 2975)

Evaluate

m^{3} \times \frac{9006}{25} - 238

Use the commutative property to reorder the terms

\frac{9006}{25} m^{3} - 238

Solution

\frac{2}{25} (4503 m^{3} - 2975)

Show Solution

m = \frac{3 2975 \times 450 3 ^{2}}{4503}

Alternative Form

m \approx 0.870954

Evaluate

m^{3} \times \frac{9006}{25} - 238

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

m^{3} \times \frac{9006}{25} - 238 = 0

Use the commutative property to reorder the terms

\frac{9006}{25} m^{3} - 238 = 0

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

\frac{9006}{25} m^{3} = 0 + 238

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

\frac{9006}{25} m^{3} = 238

Multiply by the reciprocal

\frac{9006}{25} m^{3} \times \frac{25}{9006} = 238 \times \frac{25}{9006}

Multiply

m^{3} = 238 \times \frac{25}{9006}

Multiply

More Steps

Evaluate

238 \times \frac{25}{9006}

Reduce the numbers

119 \times \frac{25}{4503}

Multiply the numbers

\frac{119 \times 25}{4503}

Multiply the numbers

\frac{2975}{4503}

m^{3} = \frac{2975}{4503}

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

3 m^{3} = 3 \frac{2975}{4503}

Calculate

m = 3 \frac{2975}{4503}

Solution

More Steps

Evaluate

3 \frac{2975}{4503}

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

\frac{3 2975}{3 4503}

Multiply by the Conjugate

\frac{3 2975 \times 3 450 3 ^{2}}{3 4503 \times 3 450 3 ^{2}}

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

\frac{3 2975 \times 450 3 ^{2}}{3 4503 \times 3 450 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

34503 \times 3 450 3^{2}

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

3 4503 \times 450 3^{2}

Calculate the product

3 450 3^{3}

Reduce the index of the radical and exponent with 3

4503

\frac{3 2975 \times 450 3 ^{2}}{4503}

m = \frac{3 2975 \times 450 3 ^{2}}{4503}

Alternative Form

m \approx 0.870954

Show Solution