Solve abs2410c^3-60

Question

Simplify the expression

2410 c^{3} - 60

Evaluate

∣ 2410 ∣ \times c^{3} - 60

Solution

2410 c^{3} - 60

Show Solution

10 (241 c^{3} - 6)

Evaluate

∣ 2410 ∣ \times c^{3} - 60

When the expression in absolute value bars is not negative, remove the bars

2410 c^{3} - 60

Solution

10 (241 c^{3} - 6)

Show Solution

c = \frac{3 348486}{241}

Alternative Form

c \approx 0.291997

Evaluate

∣ 2410 ∣ \times c^{3} - 60

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

∣ 2410 ∣ \times c^{3} - 60 = 0

When the expression in absolute value bars is not negative, remove the bars

2410 c^{3} - 60 = 0

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

2410 c^{3} = 0 + 60

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

2410 c^{3} = 60

Divide both sides

\frac{2410 c ^{3}}{2410} = \frac{60}{2410}

Divide the numbers

c^{3} = \frac{60}{2410}

Cancel out the common factor 10

c^{3} = \frac{6}{241}

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

3 c^{3} = 3 \frac{6}{241}

Calculate

c = 3 \frac{6}{241}

Solution

More Steps

Evaluate

3 \frac{6}{241}

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

\frac{3 6}{3 241}

Multiply by the Conjugate

\frac{3 6 \times 3 24 1 ^{2}}{3 241 \times 3 24 1 ^{2}}

Simplify

\frac{3 6 \times 3 58081}{3 241 \times 3 24 1 ^{2}}

Multiply the numbers

More Steps

Evaluate

36 \times 358081

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

3 6 \times 58081

Calculate the product

3348486

\frac{3 348486}{3 241 \times 3 24 1 ^{2}}

Multiply the numbers

More Steps

Evaluate

3241 \times 3 24 1^{2}

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

3 241 \times 24 1^{2}

Calculate the product

3 24 1^{3}

Reduce the index of the radical and exponent with 3

241

\frac{3 348486}{241}

c = \frac{3 348486}{241}

Alternative Form

c \approx 0.291997

Show Solution