Solve c^33345-8 - ScanMath

Question

Simplify the expression

3345 c^{3} - 8

Evaluate

c^{3} \times 3345 - 8

Solution

3345 c^{3} - 8

Show Solution

c = \frac{2 3 334 5 ^{2}}{3345}

Alternative Form

c \approx 0.133731

Evaluate

c^{3} \times 3345 - 8

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

c^{3} \times 3345 - 8 = 0

Use the commutative property to reorder the terms

3345 c^{3} - 8 = 0

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

3345 c^{3} = 0 + 8

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

3345 c^{3} = 8

Divide both sides

\frac{3345 c ^{3}}{3345} = \frac{8}{3345}

Divide the numbers

c^{3} = \frac{8}{3345}

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

3 c^{3} = 3 \frac{8}{3345}

Calculate

c = 3 \frac{8}{3345}

Solution

More Steps

Evaluate

3 \frac{8}{3345}

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

\frac{3 8}{3 3345}

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 3345}

Multiply by the Conjugate

\frac{2 3 334 5 ^{2}}{3 3345 \times 3 334 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

33345 \times 3 334 5^{2}

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

3 3345 \times 334 5^{2}

Calculate the product

3 334 5^{3}

Reduce the index of the radical and exponent with 3

3345

\frac{2 3 334 5 ^{2}}{3345}

c = \frac{2 3 334 5 ^{2}}{3345}

Alternative Form

c \approx 0.133731

Show Solution