Solve c^3495-8 - ScanMath

Question

Simplify the expression

495 c^{3} - 8

Evaluate

c^{3} \times 495 - 8

Solution

495 c^{3} - 8

Show Solution

c = \frac{2 3 49 5 ^{2}}{495}

Alternative Form

c \approx 0.25283

Evaluate

c^{3} \times 495 - 8

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

c^{3} \times 495 - 8 = 0

Use the commutative property to reorder the terms

495 c^{3} - 8 = 0

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

495 c^{3} = 0 + 8

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

495 c^{3} = 8

Divide both sides

\frac{495 c ^{3}}{495} = \frac{8}{495}

Divide the numbers

c^{3} = \frac{8}{495}

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

3 c^{3} = 3 \frac{8}{495}

Calculate

c = 3 \frac{8}{495}

Solution

More Steps

Evaluate

3 \frac{8}{495}

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

\frac{3 8}{3 495}

Simplify the radical expression

More Steps

Evaluate

38

Write the number in exponential form with the base of 2

3 2^{3}

Reduce the index of the radical and exponent with 3

2

\frac{2}{3 495}

Multiply by the Conjugate

\frac{2 3 49 5 ^{2}}{3 495 \times 3 49 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

3495 \times 3 49 5^{2}

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

3 495 \times 49 5^{2}

Calculate the product

3 49 5^{3}

Reduce the index of the radical and exponent with 3

495

\frac{2 3 49 5 ^{2}}{495}

c = \frac{2 3 49 5 ^{2}}{495}

Alternative Form

c \approx 0.25283

Show Solution