Solve 1-s^3028 - ScanMath

Question

Simplify the expression

1 - 28 s^{3}

Evaluate

1 - s^{3} \times 28

Solution

1 - 28 s^{3}

Show Solution

s = \frac{3 98}{14}

Alternative Form

s \approx 0.329317

Evaluate

1 - s^{3} \times 28

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

1 - s^{3} \times 28 = 0

Use the commutative property to reorder the terms

1 - 28 s^{3} = 0

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

- 28 s^{3} = 0 - 1

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

- 28 s^{3} = - 1

Change the signs on both sides of the equation

28 s^{3} = 1

Divide both sides

\frac{28 s ^{3}}{28} = \frac{1}{28}

Divide the numbers

s^{3} = \frac{1}{28}

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

3 s^{3} = 3 \frac{1}{28}

Calculate

s = 3 \frac{1}{28}

Solution

More Steps

Evaluate

3 \frac{1}{28}

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

\frac{3 1}{3 28}

Simplify the radical expression

\frac{1}{3 28}

Multiply by the Conjugate

\frac{3 2 8 ^{2}}{3 28 \times 3 2 8 ^{2}}

Simplify

\frac{2 3 98}{3 28 \times 3 2 8 ^{2}}

Multiply the numbers

More Steps

Evaluate

328 \times 3 2 8^{2}

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

3 28 \times 2 8^{2}

Calculate the product

3 2 8^{3}

Reduce the index of the radical and exponent with 3

28

\frac{2 3 98}{28}

Cancel out the common factor 2

\frac{3 98}{14}

s = \frac{3 98}{14}

Alternative Form

s \approx 0.329317

Show Solution