Solve 990v^3-5 - ScanMath

Question

Factor the expression

5 (198 v^{3} - 1)

Evaluate

990 v^{3} - 5

Solution

5 (198 v^{3} - 1)

Show Solution

v = \frac{3 1452}{66}

Alternative Form

v \approx 0.171571

Evaluate

990 v^{3} - 5

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

990 v^{3} - 5 = 0

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

990 v^{3} = 0 + 5

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

990 v^{3} = 5

Divide both sides

\frac{990 v ^{3}}{990} = \frac{5}{990}

Divide the numbers

v^{3} = \frac{5}{990}

Cancel out the common factor 5

v^{3} = \frac{1}{198}

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

3 v^{3} = 3 \frac{1}{198}

Calculate

v = 3 \frac{1}{198}

Solution

More Steps

Evaluate

3 \frac{1}{198}

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

\frac{3 1}{3 198}

Simplify the radical expression

\frac{1}{3 198}

Multiply by the Conjugate

\frac{3 19 8 ^{2}}{3 198 \times 3 19 8 ^{2}}

Simplify

\frac{3 3 1452}{3 198 \times 3 19 8 ^{2}}

Multiply the numbers

More Steps

Evaluate

3198 \times 3 19 8^{2}

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

3 198 \times 19 8^{2}

Calculate the product

3 19 8^{3}

Reduce the index of the radical and exponent with 3

198

\frac{3 3 1452}{198}

Cancel out the common factor 3

\frac{3 1452}{66}

v = \frac{3 1452}{66}

Alternative Form

v \approx 0.171571

Show Solution