Solve v^350-1 - ScanMath

Question

Simplify the expression

50 v^{3} - 1

Evaluate

v^{3} \times 50 - 1

Solution

50 v^{3} - 1

Show Solution

v = \frac{3 20}{10}

Alternative Form

v \approx 0.271442

Evaluate

v^{3} \times 50 - 1

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

v^{3} \times 50 - 1 = 0

Use the commutative property to reorder the terms

50 v^{3} - 1 = 0

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

50 v^{3} = 0 + 1

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

50 v^{3} = 1

Divide both sides

\frac{50 v ^{3}}{50} = \frac{1}{50}

Divide the numbers

v^{3} = \frac{1}{50}

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

3 v^{3} = 3 \frac{1}{50}

Calculate

v = 3 \frac{1}{50}

Solution

More Steps

Evaluate

3 \frac{1}{50}

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

\frac{3 1}{3 50}

Simplify the radical expression

\frac{1}{3 50}

Multiply by the Conjugate

\frac{3 5 0 ^{2}}{3 50 \times 3 5 0 ^{2}}

Simplify

\frac{5 3 20}{3 50 \times 3 5 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

350 \times 3 5 0^{2}

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

3 50 \times 5 0^{2}

Calculate the product

3 5 0^{3}

Reduce the index of the radical and exponent with 3

50

\frac{5 3 20}{50}

Cancel out the common factor 5

\frac{3 20}{10}

v = \frac{3 20}{10}

Alternative Form

v \approx 0.271442

Show Solution