Solve v^3120-1 - ScanMath

Question

Simplify the expression

120 v^{3} - 1

Evaluate

v^{3} \times 120 - 1

Solution

120 v^{3} - 1

Show Solution

v = \frac{3 225}{30}

Alternative Form

v \approx 0.20274

Evaluate

v^{3} \times 120 - 1

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

v^{3} \times 120 - 1 = 0

Use the commutative property to reorder the terms

120 v^{3} - 1 = 0

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

120 v^{3} = 0 + 1

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

120 v^{3} = 1

Divide both sides

\frac{120 v ^{3}}{120} = \frac{1}{120}

Divide the numbers

v^{3} = \frac{1}{120}

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

3 v^{3} = 3 \frac{1}{120}

Calculate

v = 3 \frac{1}{120}

Solution

More Steps

Evaluate

3 \frac{1}{120}

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

\frac{3 1}{3 120}

Simplify the radical expression

\frac{1}{3 120}

Simplify the radical expression

More Steps

Evaluate

3120

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

3 8 \times 15

Write the number in exponential form with the base of 2

3 2^{3} \times 15

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

3 2^{3} \times 315

Reduce the index of the radical and exponent with 3

2315

\frac{1}{2 3 15}

Multiply by the Conjugate

\frac{3 1 5 ^{2}}{2 3 15 \times 3 1 5 ^{2}}

Simplify

\frac{3 225}{2 3 15 \times 3 1 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

2315 \times 3 1 5^{2}

Multiply the terms

2 \times 15

Multiply the terms

30

\frac{3 225}{30}

v = \frac{3 225}{30}

Alternative Form

v \approx 0.20274

Show Solution